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107989534368 = 253637125113
BaseRepresentation
bin110010010010010101…
…1011000011010100000
3101022201222100202000000
41210210223120122200
53232130310044433
6121335410300000
710542036616422
oct1444453303240
9338658322000
10107989534368
1141886305571
1218b19587600
13a24cb2a081
1453261a2812
152c20869113
hex1924ad86a0

107989534368 has 168 divisors, whose sum is σ = 327378547188. Its totient is φ = 35023352832.

The previous prime is 107989534337. The next prime is 107989534379. The reversal of 107989534368 is 863435989701.

107989534368 is a `hidden beast` number, since 1 + 0 + 7 + 98 + 9 + 534 + 3 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 107015345424 + 974188944 = 327132^2 + 31212^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 800580 + ... + 925692.

Almost surely, 2107989534368 is an apocalyptic number.

107989534368 is a gapful number since it is divisible by the number (18) 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 107989534368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163689273594).

107989534368 is an abundant number, since it is smaller than the sum of its proper divisors (219389012820).

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

107989534368 is an equidigital number, since it uses as much as digits as its factorization.

107989534368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125178 (or 125155 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 107989534368 in words is "one hundred seven billion, nine hundred eighty-nine million, five hundred thirty-four thousand, three hundred sixty-eight".