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99925891968 = 27371912131613
BaseRepresentation
bin101110100010000001…
…1000001101110000000
3100112221000012021010210
41131010003001232000
53114122012020333
6113523314354120
710135154032050
oct1350403015600
9315830167123
1099925891968
11394186196a1
1217448b8b940
139566363136
144b9d28d560
1528ec99ba63
hex17440c1b80

99925891968 has 256 divisors, whose sum is σ = 319773427200. Its totient is φ = 27008557056.

The previous prime is 99925891943. The next prime is 99925892041. The reversal of 99925891968 is 86919852999.

It is a super-3 number, since 3×999258919683 (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 99925891968.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 61949530 + ... + 61951142.

It is an arithmetic number, because the mean of its divisors is an integer number (1249114950).

Almost surely, 299925891968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99925891968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159886713600).

99925891968 is an abundant number, since it is smaller than the sum of its proper divisors (219847535232).

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

99925891968 is a wasteful number, since it uses less digits than its factorization.

99925891968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2869 (or 2857 counting only the distinct ones).

The product of its digits is 226748160, while the sum is 75.

The spelling of 99925891968 in words is "ninety-nine billion, nine hundred twenty-five million, eight hundred ninety-one thousand, nine hundred sixty-eight".