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631732473856 = 21211211292
BaseRepresentation
bin10010011000101100011…
…00001001000000000000
32020101121112002202012201
421030112030021000000
540322242003130411
61202114111202544
763432630300031
oct11142614110000
92211545082181
10631732473856
11223a0956a900
12a2525b16454
1347758c2bb63
142280c828a88
1511675b123c1
hex9316309000

631732473856 has 117 divisors (see below), whose sum is σ = 1389828754713. Its totient is φ = 286896783360.

The previous prime is 631732473731. The next prime is 631732473857. The reversal of 631732473856 is 658374237136.

The square root of 631732473856 is 794816.

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

It can be written as a sum of positive squares in only one way, i.e., 53645971456 + 578086502400 = 231616^2 + 760320^2 .

It is a Duffinian number.

Its product of digits (15240960) is a multiple of the sum of its prime factors (2304).

It is a junction number, because it is equal to n+sod(n) for n = 631732473797 and 631732473806.

It is not an unprimeable number, because it can be changed into a prime (631732473857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 559549900 + ... + 559551028.

Almost surely, 2631732473856 is an apocalyptic number.

631732473856 is the 794816-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 631732473856

631732473856 is an abundant number, since it is smaller than the sum of its proper divisors (758096280857).

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

631732473856 is an frugal number, since it uses more digits than its factorization.

631732473856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2304 (or 1142 counting only the distinct ones).

The product of its digits is 15240960, while the sum is 55.

The spelling of 631732473856 in words is "six hundred thirty-one billion, seven hundred thirty-two million, four hundred seventy-three thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 704 968 1024 1129 1408 1936 2048 2258 2816 3872 4096 4516 5632 7744 9032 11264 12419 15488 18064 22528 24838 30976 36128 45056 49676 61952 72256 99352 123904 136609 144512 198704 247808 273218 289024 397408 495616 546436 578048 794816 1092872 1156096 1274641 1589632 2185744 2312192 2549282 3179264 4371488 4624384 5098564 6358528 8742976 10197128 12717056 14021051 17485952 20394256 25434112 28042102 34971904 40788512 50868224 56084204 69943808 81577024 112168408 139887616 154231561 163154048 224336816 279775232 308463122 326308096 448673632 559550464 616926244 652616192 897347264 1233852488 1305232384 1794694528 2467704976 2610464768 3589389056 4935409952 5220929536 7178778112 9870819904 14357556224 19741639808 28715112448 39483279616 57430224896 78966559232 157933118464 315866236928 631732473856