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99555793920 = 21032511197997
BaseRepresentation
bin101110010110111111…
…1001101110000000000
3100111222012210100001200
41130231333031300000
53112342240401140
6113422454101200
710123041200022
oct1345577156000
9314865710050
1099555793920
1139248717540
121736504a800
139507790ccb
144b66070012
1528ca243030
hex172dfcdc00

99555793920 has 528 divisors, whose sum is σ = 378607683168. Its totient is φ = 23988142080.

The previous prime is 99555793901. The next prime is 99555793943. The reversal of 99555793920 is 2939755599.

99555793920 is a `hidden beast` number, since 9 + 9 + 5 + 5 + 579 + 39 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×995557939202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99854862 + ... + 99855858.

It is an arithmetic number, because the mean of its divisors is an integer number (717060006).

Almost surely, 299555793920 is an apocalyptic number.

99555793920 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 99555793920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189303841584).

99555793920 is an abundant number, since it is smaller than the sum of its proper divisors (279051889248).

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

99555793920 is a wasteful number, since it uses less digits than its factorization.

99555793920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 34445250, while the sum is 63.

The spelling of 99555793920 in words is "ninety-nine billion, five hundred fifty-five million, seven hundred ninety-three thousand, nine hundred twenty".