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115631869407076 = 2211297250392
BaseRepresentation
bin11010010010101010100100…
…100000000010111101100100
3120011102022001210102120210201
4122102222210200002331210
5110124003032032011301
61045532314130400244
733233061342600211
oct3222524440027544
9504368053376721
10115631869407076
1133931222844500
1210b76293130084
134c6a066769a39
14207a880398b08
15d57cb4a94201
hex692aa4802f64

115631869407076 has 81 divisors (see below), whose sum is σ = 224785393152537. Its totient is φ = 52007762484480.

The previous prime is 115631869407023. The next prime is 115631869407097. The reversal of 115631869407076 is 670704968136511.

It is a happy number.

The square root of 115631869407076 is 10753226.

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

It can be written as a sum of positive squares in only one way, i.e., 51923121292900 + 63708748114176 = 7205770^2 + 7981776^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 115631869406999 and 115631869407017.

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 26 ways as a sum of consecutive naturals, for example, 22947381765 + ... + 22947386803.

Almost surely, 2115631869407076 is an apocalyptic number.

115631869407076 is the 10753226-th square number.

It is an amenable number.

115631869407076 is a deficient number, since it is larger than the sum of its proper divisors (109153523745461).

115631869407076 is an frugal number, since it uses more digits than its factorization.

115631869407076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10298 (or 5149 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 64.

The spelling of 115631869407076 in words is "one hundred fifteen trillion, six hundred thirty-one billion, eight hundred sixty-nine million, four hundred seven thousand, seventy-six".

Divisors: 1 2 4 11 22 44 97 121 194 242 388 484 1067 2134 4268 5039 9409 10078 11737 18818 20156 23474 37636 46948 55429 103499 110858 206998 221716 413996 488783 609719 977566 1138489 1219438 1955132 2276978 2438876 4553956 5376613 10753226 21506452 25391521 47411951 50783042 59142743 94823902 101566084 118285486 189647804 236570972 279306731 521531461 558613462 1043062922 1117226924 2086125844 2462977537 3072374041 4925955074 5736846071 6144748082 9851910148 11473692142 12289496164 22947384284 27092752907 54185505814 108371011628 238908821089 298020281977 477817642178 596040563954 955635284356 1192081127908 2627997031979 5255994063958 10511988127916 28907967351769 57815934703538 115631869407076