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99880128000 = 29345319267
BaseRepresentation
bin101110100000101010…
…0011100111000000000
3100112210211002012210000
41131001110130320000
53114023303044000
6113515001440000
710134060036312
oct1350124347000
9315724065700
1099880128000
11393a4801534
12174357a0000
139559a2bb73
144b971797b2
1528e895c000
hex174151ce00

99880128000 has 400 divisors, whose sum is σ = 372067931664. Its totient is φ = 26633318400.

The previous prime is 99880127987. The next prime is 99880128011. The reversal of 99880128000 is 82108899.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5174367 + ... + 5193633.

Almost surely, 299880128000 is an apocalyptic number.

99880128000 is a gapful number since it is divisible by the number (90) 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 99880128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186033965832).

99880128000 is an abundant number, since it is smaller than the sum of its proper divisors (272187803664).

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

99880128000 is an equidigital number, since it uses as much as digits as its factorization.

99880128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19312 (or 19277 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 99880128000 in words is "ninety-nine billion, eight hundred eighty million, one hundred twenty-eight thousand".