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132016040165688 = 2337785809762891
BaseRepresentation
bin11110000001000101100001…
…001011011100000100111000
3122022102121110211020222111120
4132001011201023130010320
5114300422322240300223
61144435155343225240
736543562354315140
oct3601054113340470
9568377424228446
10132016040165688
1139078763027998
12129817148a8220
13588809ccc6853
142485879077920
15103e090852be3
hex7811612dc138

132016040165688 has 32 divisors (see below), whose sum is σ = 377188686188160. Its totient is φ = 37718868618720.

The previous prime is 132016040165573. The next prime is 132016040165701. The reversal of 132016040165688 is 886561040610231.

It is a happy number.

It is a super-2 number, since 2×1320160401656882 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132016040165688.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 392904881278 + ... + 392904881613.

It is an arithmetic number, because the mean of its divisors is an integer number (11787146443380).

Almost surely, 2132016040165688 is an apocalyptic number.

It is an amenable number.

132016040165688 is an abundant number, since it is smaller than the sum of its proper divisors (245172646022472).

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

132016040165688 is a wasteful number, since it uses less digits than its factorization.

132016040165688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785809762907 (or 785809762903 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 132016040165688 in words is "one hundred thirty-two trillion, sixteen billion, forty million, one hundred sixty-five thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 785809762891 1571619525782 2357429288673 3143239051564 4714858577346 5500668340237 6286478103128 9429717154692 11001336680474 16502005020711 18859434309384 22002673360948 33004010041422 44005346721896 66008020082844 132016040165688