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99698269132800 = 21134521323374153
BaseRepresentation
bin10110101010110011001111…
…111010101001100000000000
3111002000001122210110100010000
4112222303033322221200000
5101031424023344222200
6552012430315040000
726666651023114542
oct2652631772514000
9432001583410100
1099698269132800
1129848886884818
12b222238740000
134382677851180
141a895c9c71692
15b7d5aa1b1300
hex5aaccfea9800

99698269132800 has 5760 divisors, whose sum is σ = 444802167089280. Its totient is φ = 21862180454400.

The previous prime is 99698269132793. The next prime is 99698269132807. The reversal of 99698269132800 is 823196289699.

It is an interprime number because it is at equal distance from previous prime (99698269132793) and next prime (99698269132807).

It is a tau number, because it is divible by the number of its divisors (5760).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99698269132807) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1881099417574 + ... + 1881099417626.

It is an arithmetic number, because the mean of its divisors is an integer number (77222598453).

Almost surely, 299698269132800 is an apocalyptic number.

99698269132800 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 99698269132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222401083544640).

99698269132800 is an abundant number, since it is smaller than the sum of its proper divisors (345103897956480).

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

99698269132800 is a wasteful number, since it uses less digits than its factorization.

99698269132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 181398528, while the sum is 72.

The spelling of 99698269132800 in words is "ninety-nine trillion, six hundred ninety-eight billion, two hundred sixty-nine million, one hundred thirty-two thousand, eight hundred".