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3116108874816 = 26357175331769
BaseRepresentation
bin101101010110000110100…
…100000000010001000000
3102000220012222121020200000
4231112012210000101000
5402023242332443231
610343304243400000
7441063040260150
oct55260644002100
912026188536600
103116108874816
11aa159724a963
12423b0a683000
13197b03825a22
14aab6b54a760
15560ccccd6e6
hex2d586900440

3116108874816 has 672 divisors, whose sum is σ = 11420327842560. Its totient is φ = 822109077504.

The previous prime is 3116108874773. The next prime is 3116108874877. The reversal of 3116108874816 is 6184788016113.

3116108874816 is a `hidden beast` number, since 3 + 1 + 1 + 610 + 8 + 8 + 7 + 4 + 8 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 95 ways as a sum of consecutive naturals, for example, 98070580 + ... + 98102348.

It is an arithmetic number, because the mean of its divisors is an integer number (16994535480).

Almost surely, 23116108874816 is an apocalyptic number.

3116108874816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3116108874816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5710163921280).

3116108874816 is an abundant number, since it is smaller than the sum of its proper divisors (8304218967744).

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

3116108874816 is a wasteful number, since it uses less digits than its factorization.

3116108874816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31873 (or 31851 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 3116108874816 in words is "three trillion, one hundred sixteen billion, one hundred eight million, eight hundred seventy-four thousand, eight hundred sixteen".