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2010157056 = 21232311759
BaseRepresentation
bin111011111010000…
…1001000000000000
312012002110120002100
41313310021000000
513104100011211
6531244350400
7100546024125
oct16764110000
95162416070
102010157056
11941754826
12481245400
132605c255b
14150d8074c
15bb71c156
hex77d09000

2010157056 has 156 divisors (see below), whose sum is σ = 5997122560. Its totient is φ = 648069120.

The previous prime is 2010157049. The next prime is 2010157073. The reversal of 2010157056 is 6507510102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1141905 + ... + 1143663.

Almost surely, 22010157056 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 2010157056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2998561280).

2010157056 is an abundant number, since it is smaller than the sum of its proper divisors (3986965504).

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

2010157056 is a wasteful number, since it uses less digits than its factorization.

2010157056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 2010157056 is about 44834.7750747118. The cubic root of 2010157056 is about 1262.0502975810.

Adding to 2010157056 its reverse (6507510102), we get a palindrome (8517667158).

The spelling of 2010157056 in words is "two billion, ten million, one hundred fifty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 256 279 288 372 384 496 512 558 576 744 768 992 1024 1116 1152 1488 1536 1759 1984 2048 2232 2304 2976 3072 3518 3968 4096 4464 4608 5277 5952 6144 7036 7936 8928 9216 10554 11904 12288 14072 15831 15872 17856 18432 21108 23808 28144 31662 31744 35712 36864 42216 47616 54529 56288 63324 63488 71424 84432 95232 109058 112576 126648 126976 142848 163587 168864 190464 218116 225152 253296 285696 327174 337728 380928 436232 450304 490761 506592 571392 654348 675456 872464 900608 981522 1013184 1142784 1308696 1350912 1744928 1801216 1963044 2026368 2617392 2701824 3489856 3602432 3926088 4052736 5234784 5403648 6979712 7204864 7852176 8105472 10469568 10807296 13959424 15704352 16210944 20939136 21614592 27918848 31408704 32421888 41878272 55837696 62817408 64843776 83756544 111675392 125634816 167513088 223350784 251269632 335026176 502539264 670052352 1005078528 2010157056