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107812385875872 = 25332632957160453
BaseRepresentation
bin11000100000111000000110…
…111101100110011110100000
3112010201202121112121221012000
4120200320012331212132200
5103112344231241011442
61021144154253004000
731465121266335666
oct3040700675463640
9463652545557160
10107812385875872
1131396a81189067
1210112919a83600
1348208837ba272
141c8a20c356c36
15c6e6aa854d4c
hex620e06f667a0

107812385875872 has 192 divisors, whose sum is σ = 315757144200960. Its totient is φ = 35788487427072.

The previous prime is 107812385875757. The next prime is 107812385875969. The reversal of 107812385875872 is 278578583218701.

107812385875872 is a `hidden beast` number, since 1 + 0 + 7 + 8 + 1 + 2 + 38 + 5 + 8 + 7 + 587 + 2 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 107812385875872.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 671844798 + ... + 672005250.

It is an arithmetic number, because the mean of its divisors is an integer number (1644568459380).

Almost surely, 2107812385875872 is an apocalyptic number.

107812385875872 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 107812385875872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157878572100480).

107812385875872 is an abundant number, since it is smaller than the sum of its proper divisors (207944758325088).

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

107812385875872 is a wasteful number, since it uses less digits than its factorization.

107812385875872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163692 (or 163678 counting only the distinct ones).

The product of its (nonzero) digits is 421478400, while the sum is 72.

The spelling of 107812385875872 in words is "one hundred seven trillion, eight hundred twelve billion, three hundred eighty-five million, eight hundred seventy-five thousand, eight hundred seventy-two".