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116263268676 = 22341929972
BaseRepresentation
bin110110001000111010…
…1001011000101000100
3102010002120211222210000
41230101311023011010
53401101344044201
6125224405201300
711254053322662
oct1542165130504
9363076758700
10116263268676
1145341647615
121a648400230
13ac6aca2949
1458acd63c32
153056dd5d86
hex1b11d4b144

116263268676 has 135 divisors (see below), whose sum is σ = 321095723949. Its totient is φ = 36677891232.

The previous prime is 116263268609. The next prime is 116263268729. The reversal of 116263268676 is 676862362611.

The square root of 116263268676 is 340974.

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

116263268676 is a `hidden beast` number, since 1 + 1 + 626 + 3 + 2 + 6 + 8 + 6 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 100077322500 + 16185946176 = 316350^2 + 127224^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 116612610 + ... + 116613606.

Almost surely, 2116263268676 is an apocalyptic number.

116263268676 is the 340974-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116263268676

116263268676 is an abundant number, since it is smaller than the sum of its proper divisors (204832455273).

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

116263268676 is an frugal number, since it uses more digits than its factorization.

116263268676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2048 (or 1021 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 116263268676 in words is "one hundred sixteen billion, two hundred sixty-three million, two hundred sixty-eight thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 361 513 684 722 997 1026 1083 1444 1539 1994 2052 2166 2991 3078 3249 3988 4332 5982 6156 6498 8973 9747 11964 12996 17946 18943 19494 26919 29241 35892 37886 38988 53838 56829 58482 75772 80757 107676 113658 116964 161514 170487 227316 323028 340974 359917 511461 681948 719834 994009 1022922 1079751 1439668 1534383 1988018 2045844 2159502 2982027 3068766 3239253 3976036 4319004 5964054 6137532 6478506 8946081 9717759 11928108 12957012 17892162 18886171 19435518 26838243 29153277 35784324 37772342 38871036 53676486 56658513 58306554 75544684 80514729 107352972 113317026 116613108 161029458 169975539 226634052 322058916 339951078 358837249 509926617 679902156 717674498 1019853234 1076511747 1435348996 1529779851 2039706468 2153023494 3059559702 3229535241 4306046988 6119119404 6459070482 9688605723 12918140964 19377211446 29065817169 38754422892 58131634338 116263268676