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9992747520 = 293357191087
BaseRepresentation
bin10010100111001110…
…10011101000000000
3221210102010011121000
421103213103220000
5130431120410040
64331323132000
7502425644460
oct112347235000
927712104530
109992747520
114268711128
121b2a674000
13c3334b372
146ab1d5ba0
153d7429130
hex2539d3a00

9992747520 has 640 divisors, whose sum is σ = 42740121600. Its totient is φ = 2161852416.

The previous prime is 9992747507. The next prime is 9992747549. The reversal of 9992747520 is 257472999.

9992747520 is a `hidden beast` number, since 9 + 99 + 27 + 4 + 7 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9192417 + ... + 9193503.

It is an arithmetic number, because the mean of its divisors is an integer number (66781440).

Almost surely, 29992747520 is an apocalyptic number.

9992747520 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 9992747520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21370060800).

9992747520 is an abundant number, since it is smaller than the sum of its proper divisors (32747374080).

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

9992747520 is a wasteful number, since it uses less digits than its factorization.

9992747520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The square root of 9992747520 is about 99963.7310228065. The cubic root of 9992747520 is about 2153.9137309200.

The spelling of 9992747520 in words is "nine billion, nine hundred ninety-two million, seven hundred forty-seven thousand, five hundred twenty".