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10131877686 = 23734923167
BaseRepresentation
bin10010110111110100…
…00010111100110110
3222011002220201022010
421123322002330312
5131222230041221
64353213145050
7506035353000
oct113372027466
928132821263
1010131877686
11432a1a9737
121b6918b186
13c561127c8
146c1891370
153e475cc76
hex25be82f36

10131877686 has 32 divisors (see below), whose sum is σ = 23631206400. Its totient is φ = 2894821608.

The previous prime is 10131877681. The next prime is 10131877711. The reversal of 10131877686 is 68677813101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131877681) by changing a digit.

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, 2459526 + ... + 2463641.

It is an arithmetic number, because the mean of its divisors is an integer number (738475200).

Almost surely, 210131877686 is an apocalyptic number.

10131877686 is an abundant number, since it is smaller than the sum of its proper divisors (13499328714).

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

10131877686 is an equidigital number, since it uses as much as digits as its factorization.

10131877686 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4923193 (or 4923179 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 48.

The spelling of 10131877686 in words is "ten billion, one hundred thirty-one million, eight hundred seventy-seven thousand, six hundred eighty-six".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 343 686 1029 2058 4923167 9846334 14769501 29539002 34462169 68924338 103386507 206773014 241235183 482470366 723705549 1447411098 1688646281 3377292562 5065938843 10131877686