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631471680 = 26335753197
BaseRepresentation
bin100101101000110…
…111111001000000
31122000020002022000
4211220313321000
52243124043210
6142354344000
721435264210
oct4550677100
91560202260
10631471680
112a44a4024
1215758b000
13a0a976a8
145dc1a240
153a687ac0
hex25a37e40

631471680 has 448 divisors, whose sum is σ = 2607137280. Its totient is φ = 140894208.

The previous prime is 631471661. The next prime is 631471691. The reversal of 631471680 is 86174136.

631471680 is a `hidden beast` number, since 631 + 4 + 7 + 16 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3205342 + ... + 3205538.

Almost surely, 2631471680 is an apocalyptic number.

631471680 is a gapful number since it is divisible by the number (60) 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 631471680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303568640).

631471680 is an abundant number, since it is smaller than the sum of its proper divisors (1975665600).

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

631471680 is a wasteful number, since it uses less digits than its factorization.

631471680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 631471680 is about 25129.1002624447. The cubic root of 631471680 is about 857.9288903853.

The spelling of 631471680 in words is "six hundred thirty-one million, four hundred seventy-one thousand, six hundred eighty".