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31614472032 = 25311132979411
BaseRepresentation
bin11101011100010111…
…101000111101100000
310000121021012120122120
4131130113220331200
51004221301101112
622305023504240
72166302402253
oct353427507540
9100537176576
1031614472032
11124535aa840
126163758080
132c9a9c70b0
14175ca2909a
15c50735e8c
hex75c5e8f60

31614472032 has 192 divisors, whose sum is σ = 100859592960. Its totient is φ = 8538163200.

The previous prime is 31614471989. The next prime is 31614472033. The reversal of 31614472032 is 23027441613.

It is a super-2 number, since 2×316144720322 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 31614471984 and 31614472002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31614472033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 358407 + ... + 437817.

It is an arithmetic number, because the mean of its divisors is an integer number (525310380).

Almost surely, 231614472032 is an apocalyptic number.

31614472032 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 31614472032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50429796480).

31614472032 is an abundant number, since it is smaller than the sum of its proper divisors (69245120928).

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

31614472032 is a wasteful number, since it uses less digits than its factorization.

31614472032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79477 (or 79469 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The spelling of 31614472032 in words is "thirty-one billion, six hundred fourteen million, four hundred seventy-two thousand, thirty-two".