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31214869056 = 2632721767971
BaseRepresentation
bin11101000100100011…
…010001101001000000
32222120102021122102100
4131010203101221000
51002412001302211
622201230550400
72153351003100
oct350443215100
988512248370
1031214869056
1112268a86148
126071968400
132c35c94427
141721929200
15c2a600156
hex7448d1a40

31214869056 has 504 divisors, whose sum is σ = 111961732896. Its totient is φ = 8260116480.

The previous prime is 31214868973. The next prime is 31214869057. The reversal of 31214869056 is 65096841213.

31214869056 is a `hidden beast` number, since 31 + 2 + 1 + 486 + 90 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×312148690562 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31214869057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32146651 + ... + 32147621.

Almost surely, 231214869056 is an apocalyptic number.

31214869056 is a gapful number since it is divisible by the number (36) 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 31214869056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55980866448).

31214869056 is an abundant number, since it is smaller than the sum of its proper divisors (80746863840).

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

31214869056 is a wasteful number, since it uses less digits than its factorization.

31214869056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 31214869056 in words is "thirty-one billion, two hundred fourteen million, eight hundred sixty-nine thousand, fifty-six".