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116034776748 = 223411163199739
BaseRepresentation
bin110110000010000110…
…1100010111010101100
3102002111122220101210000
41230010031202322230
53400114400323443
6125150003544300
711245310220522
oct1540415427254
9362448811700
10116034776748
1145234674210
121a5a398b090
13ac32850c17
14588a886312
153041cee8d3
hex1b04362eac

116034776748 has 120 divisors (see below), whose sum is σ = 332945807040. Its totient is φ = 34946160480.

The previous prime is 116034776731. The next prime is 116034776761. The reversal of 116034776748 is 847677430611.

It is a happy number.

116034776748 is a `hidden beast` number, since 1 + 160 + 3 + 477 + 6 + 7 + 4 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 116034776694 and 116034776703.

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 39 ways as a sum of consecutive naturals, for example, 481063 + ... + 680801.

It is an arithmetic number, because the mean of its divisors is an integer number (2774548392).

Almost surely, 2116034776748 is an apocalyptic number.

116034776748 is a gapful number since it is divisible by the number (18) 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 116034776748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166472903520).

116034776748 is an abundant number, since it is smaller than the sum of its proper divisors (216911030292).

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

116034776748 is a wasteful number, since it uses less digits than its factorization.

116034776748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199929 (or 199918 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 116034776748 in words is "one hundred sixteen billion, thirty-four million, seven hundred seventy-six thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 163 198 297 324 326 396 489 594 652 891 978 1188 1467 1782 1793 1956 2934 3564 3586 4401 5379 5868 7172 8802 10758 13203 16137 17604 21516 26406 32274 48411 52812 64548 96822 145233 193644 199739 290466 399478 580932 599217 798956 1198434 1797651 2197129 2396868 3595302 4394258 5392953 6591387 7190604 8788516 10785906 13182774 16178859 19774161 21571812 26365548 32357718 32557457 39548322 59322483 64715436 65114914 79096644 97672371 118644966 130229828 177967449 195344742 237289932 293017113 355934898 358132027 390689484 586034226 711869796 716264054 879051339 1074396081 1172068452 1432528108 1758102678 2148792162 2637154017 3223188243 3516205356 4297584324 5274308034 6446376486 9669564729 10548616068 12892752972 19339129458 29008694187 38678258916 58017388374 116034776748