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116781808032 = 25321976073391
BaseRepresentation
bin110110011000010111…
…1001111100110100000
3102011102201120112001100
41230300233033212200
53403132120324112
6125352051234400
711302650663351
oct1546057174640
9364381515040
10116781808032
114558831693a
121a771ba8a00
13b021549376
14591bb83d28
1530876b22dc
hex1b30bcf9a0

116781808032 has 144 divisors (see below), whose sum is σ = 334432530432. Its totient is φ = 38654461440.

The previous prime is 116781808019. The next prime is 116781808079. The reversal of 116781808032 is 230808187611.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 34437057 + ... + 34440447.

It is an arithmetic number, because the mean of its divisors is an integer number (2322448128).

Almost surely, 2116781808032 is an apocalyptic number.

116781808032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116781808032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167216265216).

116781808032 is an abundant number, since it is smaller than the sum of its proper divisors (217650722400).

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

116781808032 is a wasteful number, since it uses less digits than its factorization.

116781808032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4211 (or 4200 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 116781808032 in words is "one hundred sixteen billion, seven hundred eighty-one million, eight hundred eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 197 288 394 591 607 788 1182 1214 1576 1773 1821 2364 2428 3152 3391 3546 3642 4728 4856 5463 6304 6782 7092 7284 9456 9712 10173 10926 13564 14184 14568 18912 19424 20346 21852 27128 28368 29136 30519 40692 43704 54256 56736 58272 61038 81384 87408 108512 119579 122076 162768 174816 239158 244152 325536 358737 478316 488304 668027 717474 956632 976608 1076211 1336054 1434948 1913264 2004081 2058337 2152422 2672108 2869896 3826528 4008162 4116674 4304844 5344216 5739792 6012243 6175011 8016324 8233348 8609688 10688432 11479584 12024486 12350022 16032648 16466696 17219376 18525033 21376864 24048972 24700044 32065296 32933392 34438752 37050066 48097944 49400088 64130592 65866784 74100132 96195888 98800176 148200264 192391776 197600352 296400528 405492389 592801056 810984778 1216477167 1621969556 2432954334 3243939112 3649431501 4865908668 6487878224 7298863002 9731817336 12975756448 14597726004 19463634672 29195452008 38927269344 58390904016 116781808032