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9520640640 = 273357312539
BaseRepresentation
bin10001101110111100…
…10111001010000000
3220120111202122201000
420313132113022000
5123444241000030
64212420212000
7454634052540
oct106736271200
926514678630
109520640640
114046176255
121a1853a000
13b895b1294
14664621320
153aac70860
hex237797280

9520640640 has 512 divisors, whose sum is σ = 39794688000. Its totient is φ = 2105118720.

The previous prime is 9520640629. The next prime is 9520640659. The reversal of 9520640640 is 460460259.

9520640640 is a `hidden beast` number, since 9 + 5 + 2 + 0 + 6 + 4 + 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 = 9520640595 and 9520640604.

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, 3748491 + ... + 3751029.

It is an arithmetic number, because the mean of its divisors is an integer number (77724000).

Almost surely, 29520640640 is an apocalyptic number.

9520640640 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 9520640640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19897344000).

9520640640 is an abundant number, since it is smaller than the sum of its proper divisors (30274047360).

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

9520640640 is a wasteful number, since it uses less digits than its factorization.

9520640640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2605 (or 2587 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 9520640640 is about 97573.7702459016. The cubic root of 9520640640 is about 2119.4445441670. Note that the first 3 decimals are identical.

The spelling of 9520640640 in words is "nine billion, five hundred twenty million, six hundred forty thousand, six hundred forty".