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10631637368 = 23111815031327
BaseRepresentation
bin10011110011011000…
…11110100101111000
31000102221022010200222
421321230132211320
5133233144343433
64514544515212
7524314266212
oct117154364570
930387263628
1010631637368
114566311570
12208861bb08
1310058123b1
1472bdc35b2
15423579b98
hex279b1e978

10631637368 has 64 divisors (see below), whose sum is σ = 21926661120. Its totient is φ = 4792694400.

The previous prime is 10631637349. The next prime is 10631637427. The reversal of 10631637368 is 86373613601.

It is a super-2 number, since 2×106316373682 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8011121 + ... + 8012447.

It is an arithmetic number, because the mean of its divisors is an integer number (342604080).

Almost surely, 210631637368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10631637368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10963330560).

10631637368 is an abundant number, since it is smaller than the sum of its proper divisors (11295023752).

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

10631637368 is a wasteful number, since it uses less digits than its factorization.

10631637368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2028 (or 2024 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 44.

The spelling of 10631637368 in words is "ten billion, six hundred thirty-one million, six hundred thirty-seven thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 22 44 88 181 362 503 724 1006 1327 1448 1991 2012 2654 3982 4024 5308 5533 7964 10616 11066 14597 15928 22132 29194 44264 58388 91043 116776 182086 240187 364172 480374 667481 728344 960748 1001473 1334962 1921496 2002946 2642057 2669924 4005892 5284114 5339848 7342291 8011784 10568228 14684582 21136456 29369164 58738328 120814061 241628122 483256244 966512488 1328954671 2657909342 5315818684 10631637368