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72195696968 = 23172918305197
BaseRepresentation
bin100001100111100110…
…0101110100101001000
320220100102221101212112
41003033030232211020
52140324044300333
653055524201452
75134035204353
oct1031714564510
9226312841775
1072195696968
112868865276a
1211baa239288
136a67300525
1436cc49329a
151d2827c948
hex10cf32e948

72195696968 has 32 divisors (see below), whose sum is σ = 148272103800. Its totient is φ = 32802911232.

The previous prime is 72195696929. The next prime is 72195696983. The reversal of 72195696968 is 86969659127.

It can be written as a sum of positive squares in 4 ways, for example, as 63636116644 + 8559580324 = 252262^2 + 92518^2 .

It is a Harshad number since it is a multiple of its sum of digits (68).

It is a junction number, because it is equal to n+sod(n) for n = 72195696898 and 72195696907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9148655 + ... + 9156542.

Almost surely, 272195696968 is an apocalyptic number.

It is an amenable number.

72195696968 is an abundant number, since it is smaller than the sum of its proper divisors (76076406832).

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

72195696968 is a wasteful number, since it uses less digits than its factorization.

72195696968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18305249 (or 18305245 counting only the distinct ones).

The product of its digits is 88179840, while the sum is 68.

The spelling of 72195696968 in words is "seventy-two billion, one hundred ninety-five million, six hundred ninety-six thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 17 29 34 58 68 116 136 232 493 986 1972 3944 18305197 36610394 73220788 146441576 311188349 530850713 622376698 1061701426 1244753396 2123402852 2489506792 4246805704 9024462121 18048924242 36097848484 72195696968