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9953000640 = 2632511314173
BaseRepresentation
bin10010100010011111…
…01011110011000000
3221200122022211010100
421101033223303000
5130340432010030
64323343202400
7501434052402
oct112117536300
927618284110
109953000640
114248233770
121b192a6400
13c28042abb
146a5c0ab72
153d3bc7360
hex2513ebcc0

9953000640 has 168 divisors, whose sum is σ = 37346491728. Its totient is φ = 2412840960.

The previous prime is 9953000627. The next prime is 9953000663. The reversal of 9953000640 is 460003599.

9953000640 is a `hidden beast` number, since 9 + 9 + 5 + 3 + 0 + 0 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9953000595 and 9953000604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125407 + ... + 188766.

It is an arithmetic number, because the mean of its divisors is an integer number (222300546).

Almost surely, 29953000640 is an apocalyptic number.

9953000640 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9953000640 is an abundant number, since it is smaller than the sum of its proper divisors (27393491088).

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

9953000640 is a wasteful number, since it uses less digits than its factorization.

9953000640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314207 (or 314194 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 9953000640 is about 99764.7264317404. The cubic root of 9953000640 is about 2151.0541533323.

The spelling of 9953000640 in words is "nine billion, nine hundred fifty-three million, six hundred forty", and thus it is an aban number.