Search a number
-
+
116017896996 = 223412721492
BaseRepresentation
bin110110000001100110…
…1001001111000100100
3102002110111010211010000
41230003031021320210
53400101040200441
6125144202101300
711245013565441
oct1540315117044
9362414124100
10116017896996
1145226095201
121a59a1aa830
13ac2c1c0ac1
1458885309c8
1530405b82b6
hex1b03349e24

116017896996 has 135 divisors (see below), whose sum is σ = 307766095329. Its totient is φ = 38110619232.

The previous prime is 116017896979. The next prime is 116017897007. The reversal of 116017896996 is 699698710611.

The square root of 116017896996 is 340614.

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

116017896996 is a `hidden beast` number, since 11 + 601 + 7 + 8 + 9 + 6 + 9 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13592295396 + 102425601600 = 116586^2 + 320040^2 .

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, 778643530 + ... + 778643678.

Almost surely, 2116017896996 is an apocalyptic number.

116017896996 is the 340614-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116017896996

116017896996 is an abundant number, since it is smaller than the sum of its proper divisors (191748198333).

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

116017896996 is an equidigital number, since it uses as much as digits as its factorization.

116017896996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 63.

The spelling of 116017896996 in words is "one hundred sixteen billion, seventeen million, eight hundred ninety-six thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 127 149 162 254 298 324 381 447 508 596 762 894 1143 1341 1524 1788 2286 2682 3429 4023 4572 5364 6858 8046 10287 12069 13716 16092 16129 18923 20574 22201 24138 32258 37846 41148 44402 48276 48387 56769 64516 66603 75692 88804 96774 113538 133206 145161 170307 193548 199809 227076 266412 290322 340614 399618 435483 510921 580644 599427 681228 799236 870966 1021842 1198854 1306449 1532763 1741932 1798281 2043684 2397708 2403221 2612898 2819527 3065526 3596562 4806442 5225796 5639054 6131052 7193124 7209663 8458581 9612884 11278108 14419326 16917162 21628989 25375743 28838652 33834324 43257978 50751486 64886967 76127229 86515956 101502972 129773934 152254458 194660901 228381687 259547868 304508916 358079929 389321802 456763374 716159858 778643604 913526748 1074239787 1432319716 2148479574 3222719361 4296959148 6445438722 9668158083 12890877444 19336316166 29004474249 38672632332 58008948498 116017896996