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252463316042106 = 232134462324178183
BaseRepresentation
bin111001011001110100110010…
…010001011000000101111010
31020002220020221120111202000200
4321121310302101120011322
5231042324332401321411
62252540013554343030
7104114605215650661
oct7131646221300572
91202806846452020
10252463316042106
1173496100223144
12243950b988aa76
13aab425b31c810
14464b40acc7dd8
151e2c23bee8e56
hexe59d3245817a

252463316042106 has 48 divisors (see below), whose sum is σ = 589094296417536. Its totient is φ = 77679276278688.

The previous prime is 252463316042017. The next prime is 252463316042159. The reversal of 252463316042106 is 601240613364252.

252463316042106 is a `hidden beast` number, since 2 + 5 + 2 + 4 + 6 + 3 + 31 + 604 + 2 + 1 + 0 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1647310 + ... + 22530873.

It is an arithmetic number, because the mean of its divisors is an integer number (12272797842032).

Almost surely, 2252463316042106 is an apocalyptic number.

252463316042106 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

252463316042106 is an abundant number, since it is smaller than the sum of its proper divisors (336630980375430).

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

252463316042106 is a wasteful number, since it uses less digits than its factorization.

252463316042106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24222827 (or 24222824 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 252463316042106 in words is "two hundred fifty-two trillion, four hundred sixty-three billion, three hundred sixteen million, forty-two thousand, one hundred six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 44623 89246 133869 267738 401607 580099 803214 1160198 1740297 3480594 5220891 10441782 24178183 48356366 72534549 145069098 217603647 314316379 435207294 628632758 942949137 1885898274 2828847411 5657694822 1078903060009 2157806120018 3236709180027 6473418360054 9710127540081 14025739780117 19420255080162 28051479560234 42077219340351 84154438680702 126231658021053 252463316042106