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155964012 = 22323279311
BaseRepresentation
bin10010100101111…
…01001001101100
3101212110210101220
421102331021230
5304411322022
623250503340
73602446401
oct1122751154
9355423356
10155964012
1180046086
1244294b50
13264096c9
14169dc2a8
15da5b85c
hex94bd26c

155964012 has 72 divisors (see below), whose sum is σ = 386480640. Its totient is φ = 48940320.

The previous prime is 155963993. The next prime is 155964013. The reversal of 155964012 is 210469551.

155964012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1559640122 = 48649546078272288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (155964013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 501337 + ... + 501647.

Almost surely, 2155964012 is an apocalyptic number.

155964012 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 155964012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193240320).

155964012 is an abundant number, since it is smaller than the sum of its proper divisors (230516628).

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

155964012 is a wasteful number, since it uses less digits than its factorization.

155964012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 155964012 is about 12488.5552406994. Note that the first 3 decimals coincide. The cubic root of 155964012 is about 538.2798625004.

The spelling of 155964012 in words is "one hundred fifty-five million, nine hundred sixty-four thousand, twelve".

Divisors: 1 2 3 4 6 12 23 46 69 79 92 138 158 237 276 311 316 474 529 622 933 948 1058 1244 1587 1817 1866 2116 3174 3634 3732 5451 6348 7153 7268 10902 14306 21459 21804 24569 28612 41791 42918 49138 73707 83582 85836 98276 125373 147414 164519 167164 250746 294828 329038 493557 501492 565087 658076 987114 1130174 1695261 1974228 2260348 3390522 6781044 12997001 25994002 38991003 51988004 77982006 155964012