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104624414631 = 321141123120939
BaseRepresentation
bin110000101110000011…
…0011101111110100111
3101000001110021221112200
41201130012131332213
53203232322232011
6120021440145543
710362455564622
oct1413406357647
9330043257480
10104624414631
1140409833280
121833a6082b3
139b348c7669
1450c72b4db9
152ac5201856
hex185c19dfa7

104624414631 has 48 divisors (see below), whose sum is σ = 169029020160. Its totient is φ = 61808976000.

The previous prime is 104624414621. The next prime is 104624414651. The reversal of 104624414631 is 136414426401.

104624414631 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 2 + 4 + 4 + 14 + 631 = 666.

It is not a de Polignac number, because 104624414631 - 26 = 104624414567 is a prime.

It is a super-2 number, since 2×1046244146312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104624414621) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4986160 + ... + 5007098.

It is an arithmetic number, because the mean of its divisors is an integer number (3521437920).

Almost surely, 2104624414631 is an apocalyptic number.

104624414631 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

104624414631 is a deficient number, since it is larger than the sum of its proper divisors (64404605529).

104624414631 is a wasteful number, since it uses less digits than its factorization.

104624414631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22228 (or 22225 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 104624414631 in words is "one hundred four billion, six hundred twenty-four million, four hundred fourteen thousand, six hundred thirty-one".

Divisors: 1 3 9 11 33 41 99 123 369 451 1231 1353 3693 4059 11079 13541 20939 40623 50471 62817 121869 151413 188451 230329 454239 555181 690987 858499 1665543 2072961 2575497 4996629 7726491 9443489 25775909 28330467 77327727 84991401 231983181 283534999 850604997 1056812269 2551814991 3170436807 9511310421 11624934959 34874804877 104624414631