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631223894016 = 2143220692
BaseRepresentation
bin10010010111101111110…
…00000100000000000000
32020100022002010012211100
421023313320010000000
540320221304102031
61201551422414400
763414213400002
oct11136770040000
92210262105740
10631223894016
11223778483291
12a2403731400
13476a7761741
14227a107c372
1511646151de6
hex92f7e04000

631223894016 has 135 divisors (see below), whose sum is σ = 1824361803901. Its totient is φ = 210306269184.

The previous prime is 631223893969. The next prime is 631223894087. The reversal of 631223894016 is 610498322136.

The square root of 631223894016 is 794496.

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

631223894016 is a `hidden beast` number, since 6 + 3 + 1 + 2 + 238 + 9 + 401 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 98907734016 + 532316160000 = 314496^2 + 729600^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 305085430 + ... + 305087498.

Almost surely, 2631223894016 is an apocalyptic number.

631223894016 is the 794496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 631223894016

631223894016 is an abundant number, since it is smaller than the sum of its proper divisors (1193137909885).

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

631223894016 is an frugal number, since it uses more digits than its factorization.

631223894016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4172 (or 2074 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 631223894016 in words is "six hundred thirty-one billion, two hundred twenty-three million, eight hundred ninety-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2069 2304 3072 4096 4138 4608 6144 6207 8192 8276 9216 12288 12414 16384 16552 18432 18621 24576 24828 33104 36864 37242 49152 49656 66208 73728 74484 99312 132416 147456 148968 198624 264832 297936 397248 529664 595872 794496 1059328 1191744 1588992 2118656 2383488 3177984 4237312 4280761 4766976 6355968 8474624 8561522 9533952 12711936 12842283 16949248 17123044 19067904 25423872 25684566 33898496 34246088 38135808 38526849 50847744 51369132 68492176 76271616 77053698 101695488 102738264 136984352 152543232 154107396 205476528 273968704 305086464 308214792 410953056 547937408 616429584 821906112 1095874816 1232859168 1643812224 2191749632 2465718336 3287624448 4383499264 4931436672 6575248896 8766998528 9862873344 13150497792 17533997056 19725746688 26300995584 35067994112 39451493376 52601991168 70135988224 78902986752 105203982336 157805973504 210407964672 315611947008 631223894016