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13360928952 = 2337297337567
BaseRepresentation
bin11000111000101111…
…11001100010111000
31021111010221111220110
430130113321202320
5204330344211302
610045443024320
7652045010430
oct143427714270
937433844813
1013360928952
115736994748
12270a66b0a0
13134c0b3527
1490a67d2c0
15532e98b6c
hex31c5f98b8

13360928952 has 128 divisors (see below), whose sum is σ = 40032460800. Its totient is φ = 3635186688.

The previous prime is 13360928951. The next prime is 13360928969. The reversal of 13360928952 is 25982906331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13360928951) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 336873 + ... + 374439.

It is an arithmetic number, because the mean of its divisors is an integer number (312753600).

Almost surely, 213360928952 is an apocalyptic number.

13360928952 is a gapful number since it is divisible by the number (12) 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 13360928952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20016230400).

13360928952 is an abundant number, since it is smaller than the sum of its proper divisors (26671531848).

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

13360928952 is a wasteful number, since it uses less digits than its factorization.

13360928952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37685 (or 37681 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The spelling of 13360928952 in words is "thirteen billion, three hundred sixty million, nine hundred twenty-eight thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 73 84 87 116 146 168 174 203 219 232 292 348 406 438 511 584 609 696 812 876 1022 1218 1533 1624 1752 2044 2117 2436 3066 4088 4234 4872 6132 6351 8468 12264 12702 14819 16936 25404 29638 37567 44457 50808 59276 75134 88914 112701 118552 150268 177828 225402 262969 300536 355656 450804 525938 788907 901608 1051876 1089443 1577814 2103752 2178886 2742391 3155628 3268329 4357772 5484782 6311256 6536658 7626101 8227173 8715544 10969564 13073316 15252202 16454346 19196737 21939128 22878303 26146632 30504404 32908692 38393474 45756606 57590211 61008808 65817384 76786948 79529339 91513212 115180422 153573896 159058678 183026424 230360844 238588017 318117356 460721688 477176034 556705373 636234712 954352068 1113410746 1670116119 1908704136 2226821492 3340232238 4453642984 6680464476 13360928952