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108311473872 = 243271931182431
BaseRepresentation
bin110010011011111011…
…1011110111011010000
3101100120102010221222100
41210313313132323100
53233310214130442
6121431350440400
710553026223520
oct1446767367320
9340512127870
10108311473872
1141a31004478
1218ba9363100
13a2a173a014
145356c47680
152c3dc5d84c
hex1937ddeed0

108311473872 has 240 divisors, whose sum is σ = 376422891520. Its totient is φ = 28371513600.

The previous prime is 108311473871. The next prime is 108311473883. The reversal of 108311473872 is 278374113801.

108311473872 is a `hidden beast` number, since 10 + 83 + 11 + 473 + 87 + 2 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108311473871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 502497 + ... + 684927.

Almost surely, 2108311473872 is an apocalyptic number.

108311473872 is a gapful number since it is divisible by the number (12) 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 108311473872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188211445760).

108311473872 is an abundant number, since it is smaller than the sum of its proper divisors (268111417648).

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

108311473872 is a wasteful number, since it uses less digits than its factorization.

108311473872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182502 (or 182493 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 108311473872 in words is "one hundred eight billion, three hundred eleven million, four hundred seventy-three thousand, eight hundred seventy-two".