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99976891069440 = 2103257111731127421
BaseRepresentation
bin10110101110110110101111…
…000100111111010000000000
3111002222200211102210020001200
4112232312233010333100000
5101101010133103210230
6552344425534101200
730026043363363660
oct2656665704772000
9432880742706050
1099976891069440
1129945a63686660
12b26823664a800
1343a2a1b637438
141a98c9ba8a1a0
15b85965b44160
hex5aedaf13f400

99976891069440 has 4224 divisors, whose sum is σ = 476901383602176. Its totient is φ = 18728091648000.

The previous prime is 99976891069411. The next prime is 99976891069441. The reversal of 99976891069440 is 4496019867999.

It is a happy number.

99976891069440 is a `hidden beast` number, since 9 + 9 + 9 + 7 + 68 + 9 + 106 + 9 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a self number, because there is not a number n which added to its sum of digits gives 99976891069440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99976891069441) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 237474800430 + ... + 237474800850.

Almost surely, 299976891069440 is an apocalyptic number.

99976891069440 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 99976891069440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238450691801088).

99976891069440 is an abundant number, since it is smaller than the sum of its proper divisors (376924492532736).

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

99976891069440 is a wasteful number, since it uses less digits than its factorization.

99976891069440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 1904684544, while the sum is 81.

The spelling of 99976891069440 in words is "ninety-nine trillion, nine hundred seventy-six billion, eight hundred ninety-one million, sixty-nine thousand, four hundred forty".