Search a number
-
+
52430432535312 = 24313713113805223
BaseRepresentation
bin10111110101111011010010…
…10011101000001100010000
320212122022002222202110101020
423322331221103220030100
523333010011212112222
6303302112545235440
714020654665206016
oct1372755123501420
9225568088673336
1052430432535312
11157846923424a7
125a69451932b80
132334226481010
14cd3909cd88b6
1560dc810ed65c
hex2faf694e8310

52430432535312 has 160 divisors (see below), whose sum is σ = 148394238160896. Its totient is φ = 15854076940800.

The previous prime is 52430432535307. The next prime is 52430432535317. The reversal of 52430432535312 is 21353523403425.

52430432535312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (52430432535307) and next prime (52430432535317).

It is a super-2 number, since 2×524304325353122 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (52430432535317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11875933 + ... + 15681155.

Almost surely, 252430432535312 is an apocalyptic number.

52430432535312 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52430432535312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74197119080448).

52430432535312 is an abundant number, since it is smaller than the sum of its proper divisors (95963805625584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

52430432535312 is a wasteful number, since it uses less digits than its factorization.

52430432535312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3805629 (or 3805623 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 42.

Adding to 52430432535312 its reverse (21353523403425), we get a palindrome (73783955938737).

The spelling of 52430432535312 in words is "fifty-two trillion, four hundred thirty billion, four hundred thirty-two million, five hundred thirty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 71 78 104 142 156 208 213 284 311 312 426 568 622 624 852 923 933 1136 1244 1704 1846 1866 2488 2769 3408 3692 3732 4043 4976 5538 7384 7464 8086 11076 12129 14768 14928 16172 22081 22152 24258 32344 44162 44304 48516 64688 66243 88324 97032 132486 176648 194064 264972 287053 353296 529944 574106 861159 1059888 1148212 1722318 2296424 3444636 3805223 4592848 6889272 7610446 11415669 13778544 15220892 22831338 30441784 45662676 49467899 60883568 91325352 98935798 148403697 182650704 197871596 270170833 296807394 395743192 540341666 593614788 791486384 810512499 1080683332 1183424353 1187229576 1621024998 2161366664 2366848706 2374459152 3242049996 3512220829 3550273059 4322733328 4733697412 6484099992 7024441658 7100546118 9467394824 10536662487 12968199984 14048883316 14201092236 15384516589 18934789648 21073324974 28097766632 28402184472 30769033178 42146649948 46153549767 56195533264 56804368944 61538066356 84023129063 84293299896 92307099534 123076132712 168046258126 168586599792 184614199068 246152265424 252069387189 336092516252 369228398136 504138774378 672185032504 738456796272 1008277548756 1092300677819 1344370065008 2016555097512 2184601355638 3276902033457 4033110195024 4369202711276 6553804066914 8738405422552 13107608133828 17476810845104 26215216267656 52430432535312