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116561184432 = 243711231371179
BaseRepresentation
bin110110010001110010…
…1101000011010110000
3102010212100102200100220
41230203211220122300
53402204130400212
6125314130413040
711264331502020
oct1544345503260
9363770380326
10116561184432
1145484828090
121a710131180
13acb7920b64
1458da753a80
15307313238c
hex1b239686b0

116561184432 has 160 divisors (see below), whose sum is σ = 391740641280. Its totient is φ = 28959279360.

The previous prime is 116561184413. The next prime is 116561184461. The reversal of 116561184432 is 234481165611.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 600582 + ... + 770597.

It is an arithmetic number, because the mean of its divisors is an integer number (2448379008).

Almost surely, 2116561184432 is an apocalyptic number.

116561184432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

116561184432 is an abundant number, since it is smaller than the sum of its proper divisors (275179456848).

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

116561184432 is a wasteful number, since it uses less digits than its factorization.

116561184432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371231 (or 1371225 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The spelling of 116561184432 in words is "one hundred sixteen billion, five hundred sixty-one million, one hundred eighty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 23 24 28 33 42 44 46 48 56 66 69 77 84 88 92 112 132 138 154 161 168 176 184 231 253 264 276 308 322 336 368 462 483 506 528 552 616 644 759 924 966 1012 1104 1232 1288 1518 1771 1848 1932 2024 2576 3036 3542 3696 3864 4048 5313 6072 7084 7728 10626 12144 14168 21252 28336 42504 85008 1371179 2742358 4113537 5484716 8227074 9598253 10969432 15082969 16454148 19196506 21938864 28794759 30165938 31537117 32908296 38393012 45248907 57589518 60331876 63074234 65816592 76786024 90497814 94611351 105580783 115179036 120663752 126148468 153572048 180995628 189222702 211161566 220759819 230358072 241327504 252296936 316742349 346908287 361991256 378445404 422323132 441519638 460716144 504593872 633484698 662279457 693816574 723982512 756890808 844646264 883039276 1040724861 1266969396 1324558914 1387633148 1513781616 1689292528 1766078552 2081449722 2428358009 2533938792 2649117828 2775266296 3532157104 4162899444 4856716018 5067877584 5298235656 5550532592 7285074027 8325798888 9713432036 10596471312 14570148054 16651597776 19426864072 29140296108 38853728144 58280592216 116561184432