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31640297472 = 213327101607
BaseRepresentation
bin11101011101111010…
…001010000000000000
310000200001210122111100
4131131322022000000
51004244404004342
622311345214400
72200035043140
oct353572120000
9100601718440
1031640297472
1112467139883
126170331400
132ca3169c14
14176222c920
15c52b37e4c
hex75de8a000

31640297472 has 336 divisors, whose sum is σ = 105664845312. Its totient is φ = 8935833600.

The previous prime is 31640297471. The next prime is 31640297477. The reversal of 31640297472 is 27479204613.

31640297472 is a `hidden beast` number, since 31 + 64 + 0 + 2 + 97 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×316402974722 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31640297471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52125393 + ... + 52125999.

Almost surely, 231640297472 is an apocalyptic number.

31640297472 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 31640297472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52832422656).

31640297472 is an abundant number, since it is smaller than the sum of its proper divisors (74024547840).

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

31640297472 is a wasteful number, since it uses less digits than its factorization.

31640297472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 31640297472 in words is "thirty-one billion, six hundred forty million, two hundred ninety-seven thousand, four hundred seventy-two".