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71607654816 = 253745913071
BaseRepresentation
bin100001010110000100…
…1100001100110100000
320211211110102202200120
41002230021201212200
52133123024423231
652521320320240
75113335010635
oct1025411414640
9224743382616
1071607654816
1128406721a15
1211a65313080
1369a25306a9
14367434018c
151ce1822d96
hex10ac2619a0

71607654816 has 24 divisors (see below), whose sum is σ = 187970094144. Its totient is φ = 23869218240.

The previous prime is 71607654791. The next prime is 71607654823. The reversal of 71607654816 is 61845670617.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 372956440 + ... + 372956631.

It is an arithmetic number, because the mean of its divisors is an integer number (7832087256).

Almost surely, 271607654816 is an apocalyptic number.

It is an amenable number.

71607654816 is an abundant number, since it is smaller than the sum of its proper divisors (116362439328).

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

71607654816 is a wasteful number, since it uses less digits than its factorization.

71607654816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745913084 (or 745913076 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 51.

The spelling of 71607654816 in words is "seventy-one billion, six hundred seven million, six hundred fifty-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 745913071 1491826142 2237739213 2983652284 4475478426 5967304568 8950956852 11934609136 17901913704 23869218272 35803827408 71607654816