Search a number
-
+
14953296512 = 277119715641
BaseRepresentation
bin11011110110100100…
…10011001010000000
31102121010021011112202
431323102103022000
5221111020442022
610511445012332
71036361631440
oct157322231200
942533234482
1014953296512
116383822aa0
122a939b40a8
131543c7625b
14a1bd48120
155c7b8b592
hex37b493280

14953296512 has 128 divisors (see below), whose sum is σ = 37525783680. Its totient is φ = 5765529600.

The previous prime is 14953296503. The next prime is 14953296551. The reversal of 14953296512 is 21569235941.

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

It is a super-2 number, since 2×149532965122 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 948212 + ... + 963852.

It is an arithmetic number, because the mean of its divisors is an integer number (293170185).

Almost surely, 214953296512 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 14953296512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18762891840).

14953296512 is an abundant number, since it is smaller than the sum of its proper divisors (22572487168).

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

14953296512 is a wasteful number, since it uses less digits than its factorization.

14953296512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15770 (or 15758 counting only the distinct ones).

The product of its digits is 583200, while the sum is 47.

The spelling of 14953296512 in words is "fourteen billion, nine hundred fifty-three million, two hundred ninety-six thousand, five hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 97 112 128 154 176 194 224 308 352 388 448 616 679 704 776 896 1067 1232 1358 1408 1552 2134 2464 2716 3104 4268 4928 5432 6208 7469 8536 9856 10864 12416 14938 15641 17072 21728 29876 31282 34144 43456 59752 62564 68288 86912 109487 119504 125128 136576 172051 218974 239008 250256 344102 437948 478016 500512 688204 875896 956032 1001024 1204357 1376408 1517177 1751792 2002048 2408714 2752816 3034354 3503584 4817428 5505632 6068708 7007168 9634856 10620239 11011264 12137416 14014336 16688947 19269712 21240478 22022528 24274832 33377894 38539424 42480956 48549664 66755788 77078848 84961912 97099328 116822629 133511576 154157696 169923824 194198656 233645258 267023152 339847648 467290516 534046304 679695296 934581032 1068092608 1359390592 1869162064 2136185216 3738324128 7476648256 14953296512