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31987080048 = 24372111772727
BaseRepresentation
bin11101110010100101…
…000001101101110000
310001120020100000202110
4131302211001231300
51011002143030143
622410014045320
72211445460100
oct356245015560
9101506300673
1031987080048
1112624966750
1262484a9840
133029c67801
1417962dd200
15c732d8533
hex772941b70

31987080048 has 240 divisors, whose sum is σ = 111032964864. Its totient is φ = 7819499520.

The previous prime is 31987080023. The next prime is 31987080071. The reversal of 31987080048 is 84008078913.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 31987079979 and 31987080006.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 403461 + ... + 476187.

Almost surely, 231987080048 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 31987080048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55516482432).

31987080048 is an abundant number, since it is smaller than the sum of its proper divisors (79045884816).

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

31987080048 is a wasteful number, since it uses less digits than its factorization.

31987080048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72780 (or 72767 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The spelling of 31987080048 in words is "thirty-one billion, nine hundred eighty-seven million, eighty thousand, forty-eight".