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116106661098 = 232171912418243
BaseRepresentation
bin110110000100001111…
…1110000110011101010
3102002200200011111120100
41230020133300303222
53400241301123343
6125201052410230
711250142223061
oct1541037606352
9362620144510
10116106661098
1145271201a6a
121a603a76976
13ac446cc33c
1458962391d8
15304829d9d3
hex1b087f0cea

116106661098 has 96 divisors (see below), whose sum is σ = 268900549632. Its totient is φ = 36080179200.

The previous prime is 116106661091. The next prime is 116106661117. The reversal of 116106661098 is 890166601611.

It is a happy number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (116106661091) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 14081365 + ... + 14089607.

It is an arithmetic number, because the mean of its divisors is an integer number (2801047392).

Almost surely, 2116106661098 is an apocalyptic number.

116106661098 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 116106661098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134450274816).

116106661098 is an abundant number, since it is smaller than the sum of its proper divisors (152793888534).

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

116106661098 is a wasteful number, since it uses less digits than its factorization.

116106661098 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8700 (or 8697 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 116106661098 in words is "one hundred sixteen billion, one hundred six million, six hundred sixty-one thousand, ninety-eight".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 191 241 306 382 482 573 723 1146 1446 1719 2169 3247 3438 4097 4338 6494 8194 8243 9741 12291 16486 19482 24582 24729 29223 36873 46031 49458 58446 73746 74187 92062 138093 140131 148374 276186 280262 414279 420393 782527 828558 840786 1261179 1565054 1574413 1986563 2347581 2522358 3148826 3973126 4695162 4723239 5959689 7042743 9446478 11919378 14085486 14169717 17879067 26765021 28339434 33771571 35758134 53530042 67543142 80295063 101314713 160590126 202629426 240885189 303944139 379433533 481770378 607888278 758867066 1138300599 2276601198 3414901797 6450370061 6829803594 12900740122 19351110183 38702220366 58053330549 116106661098