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13118156928 = 273319199777
BaseRepresentation
bin11000011011110011…
…10011000010000000
31020212020010102022000
430031321303002000
5203331222010203
610005411344000
7643036331322
oct141571630200
936766112260
1013118156928
115621948508
1226612b2000
131310a01a46
148c6325612
1551b9e14a3
hex30de73080

13118156928 has 128 divisors (see below), whose sum is σ = 40754712000. Its totient is φ = 4142555136.

The previous prime is 13118156923. The next prime is 13118156939. The reversal of 13118156928 is 82965181131.

13118156928 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 81 + 569 + 2 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13118156921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34225 + ... + 165552.

Almost surely, 213118156928 is an apocalyptic number.

13118156928 is a gapful number since it is divisible by the number (18) 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 13118156928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20377356000).

13118156928 is an abundant number, since it is smaller than the sum of its proper divisors (27636555072).

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

13118156928 is a wasteful number, since it uses less digits than its factorization.

13118156928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199819 (or 199801 counting only the distinct ones).

The product of its digits is 103680, while the sum is 45.

The spelling of 13118156928 in words is "thirteen billion, one hundred eighteen million, one hundred fifty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 171 192 216 228 288 304 342 384 432 456 513 576 608 684 864 912 1026 1152 1216 1368 1728 1824 2052 2432 2736 3456 3648 4104 5472 7296 8208 10944 16416 21888 32832 65664 199777 399554 599331 799108 1198662 1598216 1797993 2397324 3196432 3595986 3795763 4794648 5393979 6392864 7191972 7591526 9589296 10787958 11387289 12785728 14383944 15183052 19178592 21575916 22774578 25571456 28767888 30366104 34161867 38357184 43151832 45549156 57535776 60732208 68323734 76714368 86303664 91098312 102485601 115071552 121464416 136647468 172607328 182196624 204971202 230143104 242928832 273294936 345214656 364393248 409942404 485857664 546589872 690429312 728786496 819884808 1093179744 1457572992 1639769616 2186359488 3279539232 4372718976 6559078464 13118156928