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53430245504 = 2761137199251
BaseRepresentation
bin110001110000101100…
…001101100010000000
312002220122102200211122
4301300230031202000
51333411120324004
640313455331412
73601023410336
oct616054154200
9162818380748
1053430245504
1120728a87299
12a431820b68
1350666254ac
14282c131b56
1515caac3cbe
hexc70b0d880

53430245504 has 128 divisors (see below), whose sum is σ = 109961712000. Its totient is φ = 25850880000.

The previous prime is 53430245359. The next prime is 53430245549. The reversal of 53430245504 is 40554203435.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×534302455042 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212869379 + ... + 212869629.

It is an arithmetic number, because the mean of its divisors is an integer number (859075875).

Almost surely, 253430245504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53430245504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54980856000).

53430245504 is an abundant number, since it is smaller than the sum of its proper divisors (56531466496).

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

53430245504 is a wasteful number, since it uses less digits than its factorization.

53430245504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 35.

Adding to 53430245504 its reverse (40554203435), we get a palindrome (93984448939).

The spelling of 53430245504 in words is "fifty-three billion, four hundred thirty million, two hundred forty-five thousand, five hundred four".

Divisors: 1 2 4 8 16 32 61 64 122 128 137 199 244 251 274 398 488 502 548 796 976 1004 1096 1592 1952 2008 2192 3184 3904 4016 4384 6368 7808 8032 8357 8768 12139 12736 15311 16064 16714 17536 24278 25472 27263 30622 32128 33428 34387 48556 49949 54526 61244 66856 68774 97112 99898 109052 122488 133712 137548 194224 199796 218104 244976 267424 275096 388448 399592 436208 489952 534848 550192 776896 799184 872416 979904 1069696 1100384 1553792 1598368 1663043 1744832 1959808 2097607 2200768 3046889 3196736 3326086 3489664 4195214 4401536 6093778 6393472 6652172 6843013 8390428 12187556 13304344 13686026 16780856 24375112 26608688 27372052 33561712 48750224 53217376 54744104 67123424 97500448 106434752 109488208 134246848 195000896 212869504 218976416 268493696 390001792 417423793 437952832 834847586 875905664 1669695172 3339390344 6678780688 13357561376 26715122752 53430245504