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31673399472 = 243211213139831
BaseRepresentation
bin11101011111111000…
…011011100010110000
310000202101002101220100
4131133320123202300
51004331342240342
622314530512400
72200616311341
oct353770334260
9100671071810
1031673399472
1112483898900
12617b435700
132ca9c89ac0
1417667a80c8
15c559c5e4c
hex75fe1b8b0

31673399472 has 180 divisors, whose sum is σ = 104927975152. Its totient is φ = 8859628800.

The previous prime is 31673399467. The next prime is 31673399473. The reversal of 31673399472 is 27499337613.

31673399472 is a `hidden beast` number, since 3 + 16 + 73 + 3 + 99 + 472 = 666.

It is a super-2 number, since 2×316733994722 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31673399473) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 156597 + ... + 296427.

Almost surely, 231673399472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31673399472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52463987576).

31673399472 is an abundant number, since it is smaller than the sum of its proper divisors (73254575680).

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

31673399472 is a wasteful number, since it uses less digits than its factorization.

31673399472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139880 (or 139860 counting only the distinct ones).

The product of its digits is 5143824, while the sum is 54.

The spelling of 31673399472 in words is "thirty-one billion, six hundred seventy-three million, three hundred ninety-nine thousand, four hundred seventy-two".