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631437734136 = 233115345128483
BaseRepresentation
bin10010011000001001001…
…11110011000011111000
32020100211222111102022210
421030010213303003320
540321141024443021
61202024542015120
763422421116406
oct11140447630370
92210758442283
10631437734136
11223878159560
12a24632774a0
134770cb53461
14227c1624476
1511659ce1e76
hex93049f30f8

631437734136 has 64 divisors (see below), whose sum is σ = 1754595457920. Its totient is φ = 187734485120.

The previous prime is 631437734113. The next prime is 631437734171.

631437734136 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×6314377341362 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22550250 + ... + 22578233.

It is an arithmetic number, because the mean of its divisors is an integer number (27415554030).

Almost surely, 2631437734136 is an apocalyptic number.

631437734136 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

631437734136 is an abundant number, since it is smaller than the sum of its proper divisors (1123157723784).

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

631437734136 is a wasteful number, since it uses less digits than its factorization.

631437734136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45128556 (or 45128552 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 48.

The spelling of 631437734136 in words is "six hundred thirty-one billion, four hundred thirty-seven million, seven hundred thirty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 53 66 88 106 132 159 212 264 318 424 583 636 1166 1272 1749 2332 3498 4664 6996 13992 45128483 90256966 135385449 180513932 270770898 361027864 496413313 541541796 992826626 1083083592 1489239939 1985653252 2391809599 2978479878 3971306504 4783619198 5956959756 7175428797 9567238396 11913919512 14350857594 19134476792 26309905589 28701715188 52619811178 57403430376 78929716767 105239622356 157859433534 210479244712 315718867068 631437734136