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116077504932984 = 233729158871499681
BaseRepresentation
bin11010011001001001100110…
…011100101010110001111000
3120012222220022220021212111210
4122121021212130222301320
5110203303212230323414
61050513134122323120
733310215532220550
oct3231114634526170
9505886286255453
10116077504932984
1133a93214444971
12110287216594a0
134ca00a587303a
142094277380160
15d64697ab4e59
hex69926672ac78

116077504932984 has 128 divisors (see below), whose sum is σ = 343108045670400. Its totient is φ = 32019343749120.

The previous prime is 116077504932971. The next prime is 116077504933037. The reversal of 116077504932984 is 489239405770611.

It is a super-2 number, since 2×1160775049329842 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76651624 + ... + 78151304.

It is an arithmetic number, because the mean of its divisors is an integer number (2680531606800).

It is a 1-persistent number, because it is pandigital, but 2⋅116077504932984 = 232155009865968 is not.

Almost surely, 2116077504932984 is an apocalyptic number.

116077504932984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

116077504932984 is an abundant number, since it is smaller than the sum of its proper divisors (227030540737416).

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

116077504932984 is a wasteful number, since it uses less digits than its factorization.

116077504932984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515613 (or 1515609 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 66.

The spelling of 116077504932984 in words is "one hundred sixteen trillion, seventy-seven billion, five hundred four million, nine hundred thirty-two thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 168 174 203 232 348 406 609 696 812 1218 1624 2436 4872 15887 31774 47661 63548 95322 111209 127096 190644 222418 333627 381288 444836 460723 667254 889672 921446 1334508 1382169 1499681 1842892 2669016 2764338 2999362 3225061 3685784 4499043 5528676 5998724 6450122 8998086 9675183 10497767 11057352 11997448 12900244 17996172 19350366 20995534 25800488 31493301 35992344 38700732 41991068 43490749 62986602 77401464 83982136 86981498 125973204 130472247 173962996 251946408 260944494 304435243 347925992 521888988 608870486 913305729 1043777976 1217740972 1826611458 2435481944 3653222916 7306445832 23825432047 47650864094 71476296141 95301728188 142952592282 166778024329 190603456376 285905184564 333556048658 500334072987 571810369128 667112097316 690937529363 1000668145974 1334224194632 1381875058726 2001336291948 2072812588089 2763750117452 4002672583896 4145625176178 4836562705541 5527500234904 8291250352356 9673125411082 14509688116623 16582500704712 19346250822164 29019376233246 38692501644328 58038752466492 116077504932984