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631673856 = 21033113167
BaseRepresentation
bin100101101001101…
…001010000000000
31122000121100122000
4211221221100000
52243202030411
6142402544000
721440065512
oct4551512000
91560540560
10631673856
112a4621a10
12157668000
13a0b38718
145dc6dbb2
153a6c7956
hex25a69400

631673856 has 352 divisors, whose sum is σ = 2138050560. Its totient is φ = 182476800.

The previous prime is 631673837. The next prime is 631673869. The reversal of 631673856 is 658376136.

631673856 is a `hidden beast` number, since 631 + 6 + 7 + 3 + 8 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (352).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9427935 + ... + 9428001.

Almost surely, 2631673856 is an apocalyptic number.

631673856 is a gapful number since it is divisible by the number (66) 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 631673856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069025280).

631673856 is an abundant number, since it is smaller than the sum of its proper divisors (1506376704).

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

631673856 is a wasteful number, since it uses less digits than its factorization.

631673856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 114 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 631673856 is about 25133.1226870041. The cubic root of 631673856 is about 858.0204406104.

The spelling of 631673856 in words is "six hundred thirty-one million, six hundred seventy-three thousand, eight hundred fifty-six".