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31643692080 = 2435711131071231
BaseRepresentation
bin11101011110000111…
…000110110000110000
310000200022012010000120
4131132013012300300
51004301241121310
622311550050240
72200105642020
oct353607066060
9100608163016
1031643692080
1112469048240
1261714a9980
132ca3a88070
141762873a80
15c530a8b70
hex75e1c6c30

31643692080 has 640 divisors, whose sum is σ = 133047484416. Its totient is φ = 6007910400.

The previous prime is 31643692061. The next prime is 31643692097. The reversal of 31643692080 is 8029634613.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25705065 + ... + 25706295.

Almost surely, 231643692080 is an apocalyptic number.

31643692080 is a gapful number since it is divisible by the number (30) 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 31643692080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66523742208).

31643692080 is an abundant number, since it is smaller than the sum of its proper divisors (101403792336).

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

31643692080 is a wasteful number, since it uses less digits than its factorization.

31643692080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 31643692080 in words is "thirty-one billion, six hundred forty-three million, six hundred ninety-two thousand, eighty".