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31027456944 = 2435112101653
BaseRepresentation
bin11100111001011000…
…010110101110110000
32222002100122010100000
4130321120112232300
51002021012110234
622130454030000
72145614014101
oct347130265660
988070563300
1031027456944
1112182210700
12601b048300
132c061c68a3
141704aa23a8
15c18e30899
hex739616bb0

31027456944 has 360 divisors, whose sum is σ = 100113498576. Its totient is φ = 9294912000.

The previous prime is 31027456919. The next prime is 31027456951. The reversal of 31027456944 is 44965472013.

31027456944 is a `hidden beast` number, since 3 + 10 + 2 + 74 + 569 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 31027456944.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 47514922 + ... + 47515574.

Almost surely, 231027456944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31027456944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50056749288).

31027456944 is an abundant number, since it is smaller than the sum of its proper divisors (69086041632).

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

31027456944 is a wasteful number, since it uses less digits than its factorization.

31027456944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 31027456944 in words is "thirty-one billion, twenty-seven million, four hundred fifty-six thousand, nine hundred forty-four".