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99340995936 = 253721322931139
BaseRepresentation
bin101110010000100101…
…1110100110101100000
3100111102020121110121210
41130201023310311200
53111422243332221
6113345302150120
710114522350600
oct1344113646540
9314366543553
1099340995936
1139148447646
1217305122340
1394a2125300
144b45718c00
1528b6464276
hex17212f4d60

99340995936 has 864 divisors, whose sum is σ = 353285452800. Its totient is φ = 24304250880.

The previous prime is 99340995913. The next prime is 99340996021. The reversal of 99340995936 is 63959904399.

It is a super-3 number, since 3×993409959363 (a number of 34 digits) contains 333 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 (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 714683355 + ... + 714683493.

It is an arithmetic number, because the mean of its divisors is an integer number (408895200).

Almost surely, 299340995936 is an apocalyptic number.

99340995936 is a gapful number since it is divisible by the number (96) 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 99340995936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176642726400).

99340995936 is an abundant number, since it is smaller than the sum of its proper divisors (253944456864).

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

99340995936 is a wasteful number, since it uses less digits than its factorization.

99340995936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 63772920, while the sum is 66.

The spelling of 99340995936 in words is "ninety-nine billion, three hundred forty million, nine hundred ninety-five thousand, nine hundred thirty-six".