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631414414136 = 231153229591181
BaseRepresentation
bin10010011000000110011…
…10110101101100111000
32020100210100121122022002
421030003032311230320
540321114042223021
61202022350120132
763422015652152
oct11140316655470
92210710548262
10631414414136
11223865a80930
12a24574b0048
1347708079b3c
14227bc4b3ad2
1511657c3750b
hex93033b5b38

631414414136 has 64 divisors (see below), whose sum is σ = 1321646479200. Its totient is φ = 280361203200.

The previous prime is 631414414123. The next prime is 631414414187.

631414414136 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 631414414136.

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, 772466 + ... + 1363646.

Almost surely, 2631414414136 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 631414414136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660823239600).

631414414136 is an abundant number, since it is smaller than the sum of its proper divisors (690232065064).

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

631414414136 is a wasteful number, since it uses less digits than its factorization.

631414414136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591480 (or 591476 counting only the distinct ones).

The product of its digits is 82944, while the sum is 38.

The spelling of 631414414136 in words is "six hundred thirty-one billion, four hundred fourteen million, four hundred fourteen thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 22 44 53 88 106 212 229 424 458 583 916 1166 1832 2332 2519 4664 5038 10076 12137 20152 24274 48548 97096 133507 267014 534028 591181 1068056 1182362 2364724 4729448 6502991 13005982 26011964 31332593 52023928 62665186 125330372 135380449 250660744 270760898 344658523 541521796 689317046 1083043592 1378634092 1489184939 2757268184 2978369878 5956739756 7175163797 11913479512 14350327594 28700655188 57401310376 78926801767 157853603534 315707207068 631414414136