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47332520640 = 26335172314011
BaseRepresentation
bin101100000101001111…
…001111001011000000
311112011200111011212000
4230011033033023000
51233414111130030
633424432104000
73263641533666
oct540517171300
9145150434760
1047332520640
1119089a79359
12920b695000
134604231682
142410364c36
1513705d5860
hexb053cf2c0

47332520640 has 448 divisors, whose sum is σ = 184501048320. Its totient is φ = 11362222080.

The previous prime is 47332520603. The next prime is 47332520671. The reversal of 47332520640 is 4602523374.

47332520640 is a `hidden beast` number, since 4 + 7 + 3 + 3 + 2 + 5 + 2 + 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 = 47332520595 and 47332520604.

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, 3371235 + ... + 3385245.

Almost surely, 247332520640 is an apocalyptic number.

47332520640 is a gapful number since it is divisible by the number (40) 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 47332520640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92250524160).

47332520640 is an abundant number, since it is smaller than the sum of its proper divisors (137168527680).

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

47332520640 is a wasteful number, since it uses less digits than its factorization.

47332520640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14077 (or 14061 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 47332520640 in words is "forty-seven billion, three hundred thirty-two million, five hundred twenty thousand, six hundred forty".