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12927929616 = 2433717251477
BaseRepresentation
bin11000000101001000…
…01000110100010000
31020100222011212111000
430002210020310100
5202434022221431
65534454222000
7635236405620
oct140244106420
936328155430
1012927929616
11553452a958
122609654900
1312b04899c4
148a8d68880
15509e679e6
hex302908d10

12927929616 has 160 divisors (see below), whose sum is σ = 44903911680. Its totient is φ = 3476404224.

The previous prime is 12927929587. The next prime is 12927929629. The reversal of 12927929616 is 61692972921.

12927929616 is a `hidden beast` number, since 12 + 9 + 2 + 7 + 9 + 2 + 9 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74331 + ... + 177146.

It is an arithmetic number, because the mean of its divisors is an integer number (280649448).

Almost surely, 212927929616 is an apocalyptic number.

12927929616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12927929616 is an abundant number, since it is smaller than the sum of its proper divisors (31975982064).

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

12927929616 is a wasteful number, since it uses less digits than its factorization.

12927929616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251518 (or 251506 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 54.

The spelling of 12927929616 in words is "twelve billion, nine hundred twenty-seven million, nine hundred twenty-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 34 36 42 48 51 54 56 63 68 72 84 102 108 112 119 126 136 144 153 168 189 204 216 238 252 272 306 336 357 378 408 432 459 476 504 612 714 756 816 918 952 1008 1071 1224 1428 1512 1836 1904 2142 2448 2856 3024 3213 3672 4284 5712 6426 7344 8568 12852 17136 25704 51408 251477 502954 754431 1005908 1508862 1760339 2011816 2263293 3017724 3520678 4023632 4275109 4526586 5281017 6035448 6789879 7041356 8550218 9053172 10562034 12070896 12825327 13579758 14082712 15843051 17100436 18106344 21124068 25650654 27159516 28165424 29925763 31686102 34200872 36212688 38475981 42248136 47529153 51301308 54319032 59851526 63372204 68401744 76951962 84496272 89777289 95058306 102602616 108638064 115427943 119703052 126744408 153903924 179554578 190116612 205205232 230855886 239406104 253488816 269331867 307807848 359109156 380233224 461711772 478812208 538663734 615615696 718218312 760466448 807995601 923423544 1077327468 1436436624 1615991202 1846847088 2154654936 3231982404 4309309872 6463964808 12927929616