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116613316611 = 32111677053367
BaseRepresentation
bin110110010011010110…
…0100000000000000011
3102010222222112021021100
41230212230200000003
53402311002112421
6125323232025443
711265533556621
oct1544654400003
9363888467240
10116613316611
11455011a4830
121a725692283
13acc56748bc
145903644511
1530779cdc26
hex1b26b20003

116613316611 has 24 divisors (see below), whose sum is σ = 184854668544. Its totient is φ = 70251525360.

The previous prime is 116613316543. The next prime is 116613316643.

116613316611 is a `hidden beast` number, since 1 + 1 + 6 + 6 + 1 + 3 + 31 + 6 + 611 = 666.

116613316611 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 116613316611 - 210 = 116613315587 is a prime.

It is a super-2 number, since 2×1166133166112 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (116613316681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3510151 + ... + 3543216.

It is an arithmetic number, because the mean of its divisors is an integer number (7702277856).

Almost surely, 2116613316611 is an apocalyptic number.

116613316611 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

116613316611 is a deficient number, since it is larger than the sum of its proper divisors (68241351933).

116613316611 is a wasteful number, since it uses less digits than its factorization.

116613316611 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7053551 (or 7053548 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The spelling of 116613316611 in words is "one hundred sixteen billion, six hundred thirteen million, three hundred sixteen thousand, six hundred eleven".

Divisors: 1 3 9 11 33 99 167 501 1503 1837 5511 16533 7053367 21160101 63480303 77587037 232761111 698283333 1177912289 3533736867 10601210601 12957035179 38871105537 116613316611