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99959681340 = 223451910193187
BaseRepresentation
bin101110100011000001…
…1111011000100111100
3100120000100202221110000
41131012003323010330
53114204134300330
6113530522514300
710136044162251
oct1350603730474
9316010687400
1099959681340
11394356a80a2
1217458365990
139570363b4c
144ba3967428
152900923560
hex17460fb13c

99959681340 has 240 divisors, whose sum is σ = 330508886400. Its totient is φ = 25220274048.

The previous prime is 99959681317. The next prime is 99959681383. The reversal of 99959681340 is 4318695999.

99959681340 is a `hidden beast` number, since 9 + 9 + 9 + 596 + 8 + 1 + 34 + 0 = 666.

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 79 ways as a sum of consecutive naturals, for example, 31363227 + ... + 31366413.

It is an arithmetic number, because the mean of its divisors is an integer number (1377120360).

Almost surely, 299959681340 is an apocalyptic number.

99959681340 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

99959681340 is the 258147-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99959681340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165254443200).

99959681340 is an abundant number, since it is smaller than the sum of its proper divisors (230549205060).

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

99959681340 is a wasteful number, since it uses less digits than its factorization.

99959681340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4246 (or 4235 counting only the distinct ones).

The product of its (nonzero) digits is 18895680, while the sum is 63.

The spelling of 99959681340 in words is "ninety-nine billion, nine hundred fifty-nine million, six hundred eighty-one thousand, three hundred forty".