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31332923136 = 2832311932273
BaseRepresentation
bin11101001011100101…
…100111011100000000
32222212122102102011200
4131023211213130000
51003132212020021
622221045141200
72156313311064
oct351345473400
988778372150
1031332923136
11123196889a9
1260a53ba800
132c54589708
141733499aa4
15c35b6e126
hex74b967700

31332923136 has 216 divisors, whose sum is σ = 93779177856. Its totient is φ = 10050600960.

The previous prime is 31332923081. The next prime is 31332923147. The reversal of 31332923136 is 63132923313.

31332923136 is a `hidden beast` number, since 3 + 1 + 332 + 9 + 2 + 313 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 31332923136.

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 23 ways as a sum of consecutive naturals, for example, 13783696 + ... + 13785968.

Almost surely, 231332923136 is an apocalyptic number.

31332923136 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 31332923136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46889588928).

31332923136 is an abundant number, since it is smaller than the sum of its proper divisors (62446254720).

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

31332923136 is a wasteful number, since it uses less digits than its factorization.

31332923136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2519 (or 2502 counting only the distinct ones).

The product of its digits is 52488, while the sum is 36.

The spelling of 31332923136 in words is "thirty-one billion, three hundred thirty-two million, nine hundred twenty-three thousand, one hundred thirty-six".