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9953280720 = 24325192413019
BaseRepresentation
bin10010100010100001…
…10000001011010000
3221200122212001022200
421101100300023100
5130341014440340
64323353203200
7501436330065
oct112120601320
927618761280
109953280720
114248405139
121b19400500
13c28110426
146a5c80c6c
153d3c30330
hex2514302d0

9953280720 has 240 divisors, whose sum is σ = 35343422400. Its totient is φ = 2503249920.

The previous prime is 9953280713. The next prime is 9953280761. The reversal of 9953280720 is 270823599.

9953280720 is a `hidden beast` number, since 99 + 532 + 8 + 0 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×99532807202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3295371 + ... + 3298389.

It is an arithmetic number, because the mean of its divisors is an integer number (147264260).

Almost surely, 29953280720 is an apocalyptic number.

9953280720 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 9953280720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17671711200).

9953280720 is an abundant number, since it is smaller than the sum of its proper divisors (25390141680).

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

9953280720 is a wasteful number, since it uses less digits than its factorization.

9953280720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3298 (or 3289 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 9953280720 is about 99766.1301244064. The cubic root of 9953280720 is about 2151.0743302155.

The spelling of 9953280720 in words is "nine billion, nine hundred fifty-three million, two hundred eighty thousand, seven hundred twenty".