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8107538695876 = 2243211322932
BaseRepresentation
bin111010111111010111011…
…1101101100011011000100
31001201001222022102011201101
41311332232331230123010
52030313214401232001
625124315111305444
71464515236565014
oct165765675543304
931631868364641
108107538695876
11264642a25a104
12aab36637b284
1346a6cb1bc999
1420059aa05c44
15e0d67e27a01
hex75faef6c6c4

8107538695876 has 81 divisors (see below), whose sum is σ = 14705698344519. Its totient is φ = 3911061810432.

The previous prime is 8107538695873. The next prime is 8107538695897. The reversal of 8107538695876 is 6785968357018.

The square root of 8107538695876 is 2847374.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 82556230276 + 8024982465600 = 287326^2 + 2832840^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 8107538695799 and 8107538695808.

It is not an unprimeable number, because it can be changed into a prime (8107538695871) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 27670780386 + ... + 27670780678.

Almost surely, 28107538695876 is an apocalyptic number.

8107538695876 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

8107538695876 is the 2847374-th square number.

It is an amenable number.

8107538695876 is a deficient number, since it is larger than the sum of its proper divisors (6598159648643).

8107538695876 is an equidigital number, since it uses as much as digits as its factorization.

8107538695876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 609638400, while the sum is 73.

The spelling of 8107538695876 in words is "eight trillion, one hundred seven billion, five hundred thirty-eight million, six hundred ninety-five thousand, eight hundred seventy-six".

Divisors: 1 2 4 43 86 113 172 226 293 452 586 1172 1849 3698 4859 7396 9718 12599 12769 19436 25198 25538 33109 50396 51076 66218 85849 132436 171698 208937 343396 417874 541757 549067 835748 1083514 1098134 1423687 2167028 2196268 2847374 3691507 3741317 5694748 7383014 7482634 9700937 14766028 14965268 19401874 23609881 38803748 47219762 61218541 94439524 122437082 158734801 160876631 244874164 317469602 321753262 417140291 634939204 643506524 834280582 1096205881 1668561164 2192411762 4384823524 6917695133 13835390266 17937032513 27670780532 35874065026 47136852883 71748130052 94273705766 188547411532 2026884673969 4053769347938 8107538695876