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631745190976 = 2673213612
BaseRepresentation
bin10010011000101101111…
…00101001110001000000
32020101122102000211211011
421030112330221301000
540322303232102401
61202115243530304
763433143344134
oct11142674516100
92211572024734
10631745190976
11223a15766419
12a252a229994
134775b762393
14228103b93c4
1511676cc5451
hex9316f29c40

631745190976 has 63 divisors (see below), whose sum is σ = 1271962054623. Its totient is φ = 311316664320.

The previous prime is 631745190959. The next prime is 631745191009. The reversal of 631745190976 is 679091547136.

The square root of 631745190976 is 794824.

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

It can be written as a sum of positive squares in 4 ways, for example, as 52587662400 + 579157528576 = 229320^2 + 761024^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 631745190976.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 464176536 + ... + 464177896.

Almost surely, 2631745190976 is an apocalyptic number.

631745190976 is the 794824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 631745190976

631745190976 is an abundant number, since it is smaller than the sum of its proper divisors (640216863647).

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

631745190976 is an frugal number, since it uses more digits than its factorization.

631745190976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2880 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 8573040, while the sum is 58.

The spelling of 631745190976 in words is "six hundred thirty-one billion, seven hundred forty-five million, one hundred ninety thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 73 146 292 584 1168 1361 2336 2722 4672 5329 5444 10658 10888 21316 21776 42632 43552 85264 87104 99353 170528 198706 341056 397412 794824 1589648 1852321 3179296 3704642 6358592 7252769 7409284 14505538 14818568 29011076 29637136 58022152 59274272 116044304 118548544 135219433 232088608 270438866 464177216 540877732 1081755464 2163510928 4327021856 8654043712 9871018609 19742037218 39484074436 78968148872 157936297744 315872595488 631745190976