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132153510166434 = 23229677373955161
BaseRepresentation
bin11110000011000101100011…
…000001110111111110100010
3122022220202022100022120201200
4132003011203001313332202
5114310200342100311214
61145022252350342030
736556530115122261
oct3603054301677642
9568822270276650
10132153510166434
1139120a97288159
12129a429b1ba916
13589803a684863
14248c39a6865d8
1510429393bed09
hex783163077fa2

132153510166434 has 48 divisors (see below), whose sum is σ = 296643671808120. Its totient is φ = 42469339610880.

The previous prime is 132153510166429. The next prime is 132153510166487. The reversal of 132153510166434 is 434661015351231.

132153510166434 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 5 + 3 + 51 + 0 + 166 + 434 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 132109806173409 + 43703993025 = 11493903^2 + 209055^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 132153510166434.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 186624187 + ... + 187330974.

Almost surely, 2132153510166434 is an apocalyptic number.

132153510166434 is an abundant number, since it is smaller than the sum of its proper divisors (164490161641686).

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

132153510166434 is a wasteful number, since it uses less digits than its factorization.

132153510166434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373955875 (or 373955872 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 132153510166434 in words is "one hundred thirty-two trillion, one hundred fifty-three billion, five hundred ten million, one hundred sixty-six thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 677 1354 2031 4062 6093 12186 19633 39266 58899 117798 176697 353394 373955161 747910322 1121865483 2243730966 3365596449 6731192898 10844699669 21689399338 32534099007 65068198014 97602297021 195204594042 253167643997 506335287994 759502931991 1519005863982 2278508795973 4557017591946 7341861675913 14683723351826 22025585027739 44051170055478 66076755083217 132153510166434