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99874982592 = 263271117314273
BaseRepresentation
bin101110100000100000…
…0110100101011000000
3100112210110101210121100
41131001000310223000
53114020443420332
6113514255254400
710133665226160
oct1350100645300
9315713353540
1099874982592
11393a1907730
1217433b1a400
139558949b48
144b965da5a0
1528e829267c
hex1741034ac0

99874982592 has 672 divisors, whose sum is σ = 390189256704. Its totient is φ = 23622451200.

The previous prime is 99874982573. The next prime is 99874982629. The reversal of 99874982592 is 29528947899.

99874982592 is a `hidden beast` number, since 9 + 9 + 87 + 498 + 2 + 59 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 99874982592.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23371368 + ... + 23375640.

Almost surely, 299874982592 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99874982592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195094628352).

99874982592 is an abundant number, since it is smaller than the sum of its proper divisors (290314274112).

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

99874982592 is a wasteful number, since it uses less digits than its factorization.

99874982592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4357 (or 4344 counting only the distinct ones).

The product of its digits is 235146240, while the sum is 72.

The spelling of 99874982592 in words is "ninety-nine billion, eight hundred seventy-four million, nine hundred eighty-two thousand, five hundred ninety-two".