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31983208992 = 253572359433
BaseRepresentation
bin11101110010010110…
…010000101000100000
310001112222001100200000
4131302112100220200
51011000200141432
622405355100000
72211400535160
oct356226205040
9101488040600
1031983208992
1112622762329
126247141600
133029210847
1417959b25a0
15c72cc157c
hex772590a20

31983208992 has 576 divisors, whose sum is σ = 114652661760. Its totient is φ = 8572760064.

The previous prime is 31983208987. The next prime is 31983209003. The reversal of 31983208992 is 29980238913.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73864008 + ... + 73864440.

It is an arithmetic number, because the mean of its divisors is an integer number (199049760).

Almost surely, 231983208992 is an apocalyptic number.

31983208992 is a gapful number since it is divisible by the number (32) 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 31983208992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57326330880).

31983208992 is an abundant number, since it is smaller than the sum of its proper divisors (82669452768).

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

31983208992 is a wasteful number, since it uses less digits than its factorization.

31983208992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 31983208992 in words is "thirty-one billion, nine hundred eighty-three million, two hundred eight thousand, nine hundred ninety-two".