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631573520656 = 24132172292312
BaseRepresentation
bin10010011000011001011…
…01110010000100010000
32020101012110000002102011
421030030231302010100
540321430310130111
61202050232232304
763425660230441
oct11141455620420
92211173002364
10631573520656
11223937872a21
12a24a083b694
1347732016a00
14227d568d2c8
1511666bb5021
hex930cb72110

631573520656 has 405 divisors, whose sum is σ = 1506324578733. Its totient is φ = 256343592960.

The previous prime is 631573520621. The next prime is 631573520663. The reversal of 631573520656 is 656025375136.

The square root of 631573520656 is 794716.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 360340880656 + 271232640000 = 600284^2 + 520800^2 .

It is a super-2 number, since 2×6315735206562 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 20373339361 + ... + 20373339391.

Almost surely, 2631573520656 is an apocalyptic number.

631573520656 is the 794716-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 631573520656

631573520656 is an abundant number, since it is smaller than the sum of its proper divisors (874751058077).

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

631573520656 is a wasteful number, since it uses less digits than its factorization.

631573520656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 49.

Multiplying 631573520656 by its sum of digits (49), we get a square (30947102512144 = 55630122).

The spelling of 631573520656 in words is "six hundred thirty-one billion, five hundred seventy-three million, five hundred twenty thousand, six hundred fifty-six".