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108679063920 = 24357214336449
BaseRepresentation
bin110010100110111000…
…1101110100101110000
3101101112000211110201120
41211031301232211300
53240033320021140
6121532041302240
710565111541600
oct1451561564560
9341460743646
10108679063920
11420aa5532a9
1219090494980
13a32c94171b
14538d9b2c00
152c6116e1d0
hex194dc6e970

108679063920 has 240 divisors, whose sum is σ = 392244314400. Its totient is φ = 24819744768.

The previous prime is 108679063873. The next prime is 108679064033. The reversal of 108679063920 is 29360976801.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1086790639202 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 16848856 + ... + 16855304.

It is an arithmetic number, because the mean of its divisors is an integer number (1634351310).

Almost surely, 2108679063920 is an apocalyptic number.

108679063920 is a gapful number since it is divisible by the number (10) 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 108679063920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196122157200).

108679063920 is an abundant number, since it is smaller than the sum of its proper divisors (283565250480).

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

108679063920 is a wasteful number, since it uses less digits than its factorization.

108679063920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7912 (or 7899 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The spelling of 108679063920 in words is "one hundred eight billion, six hundred seventy-nine million, sixty-three thousand, nine hundred twenty".