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31351080672 = 25331722353103
BaseRepresentation
bin11101001100101010…
…111000011011100000
32222220220120220122000
4131030222320123200
51003201334040142
622222534244000
72156623534362
oct351452703340
988826526560
1031351080672
111232895aa2a
1260ab4b6600
132c58276312
141735a64d32
15c3755914c
hex74cab86e0

31351080672 has 576 divisors, whose sum is σ = 104274293760. Its totient is φ = 9140871168.

The previous prime is 31351080653. The next prime is 31351080679. The reversal of 31351080672 is 27608015313.

31351080672 is a `hidden beast` number, since 3 + 1 + 3 + 510 + 80 + 67 + 2 = 666.

It is a super-3 number, since 3×313510806723 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31351080679) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 304379373 + ... + 304379475.

It is an arithmetic number, because the mean of its divisors is an integer number (181031760).

Almost surely, 231351080672 is an apocalyptic number.

31351080672 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 31351080672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52137146880).

31351080672 is an abundant number, since it is smaller than the sum of its proper divisors (72923213088).

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

31351080672 is a wasteful number, since it uses less digits than its factorization.

31351080672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Adding to 31351080672 its reverse (27608015313), we get a palindrome (58959095985).

The spelling of 31351080672 in words is "thirty-one billion, three hundred fifty-one million, eighty thousand, six hundred seventy-two".