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99928933955136 = 26341113711898593
BaseRepresentation
bin10110101110001010000100…
…100111000111011001000000
3111002211010001020000101210000
4112232022010213013121000
5101044213424043031021
6552310415110440000
730022425065550126
oct2656120447073100
9432733036011700
1099928933955136
11299276940918a0
12b25aa91963000
13439b347ba8c20
141a9682c7b9916
15b845aa7d3b26
hex5ae2849c7640

99928933955136 has 560 divisors, whose sum is σ = 352909194599808. Its totient is φ = 27558442598400.

The previous prime is 99928933955129. The next prime is 99928933955141. The reversal of 99928933955136 is 63155933982999.

99928933955136 is a `hidden beast` number, since 9 + 9 + 9 + 2 + 8 + 9 + 3 + 3 + 95 + 513 + 6 = 666.

It is a super-2 number, since 2×999289339551362 (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 51683856 + ... + 53582448.

Almost surely, 299928933955136 is an apocalyptic number.

99928933955136 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 99928933955136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176454597299904).

99928933955136 is an abundant number, since it is smaller than the sum of its proper divisors (252980260644672).

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

99928933955136 is a wasteful number, since it uses less digits than its factorization.

99928933955136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1898712 (or 1898693 counting only the distinct ones).

The product of its digits is 3826375200, while the sum is 81.

The spelling of 99928933955136 in words is "ninety-nine trillion, nine hundred twenty-eight billion, nine hundred thirty-three million, nine hundred fifty-five thousand, one hundred thirty-six".