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136110082761 = 3231239672
BaseRepresentation
bin111111011000011001…
…0110000101011001001
3111000022202010121110100
41332300302300223021
54212223140122021
6142310023240013
712555635420502
oct1766062605311
9430282117410
10136110082761
11527a6658804
1222466ba9009
13cab1a04513
146832b71ba9
153819493626
hex1fb0cb0ac9

136110082761 has 27 divisors (see below), whose sum is σ = 203201304813. Its totient is φ = 87790820760.

The previous prime is 136110082753. The next prime is 136110082777. The reversal of 136110082761 is 167280011631.

The square root of 136110082761 is 368931.

It is a perfect power (a square), and thus also a powerful number.

136110082761 is a `hidden beast` number, since 13 + 611 + 0 + 0 + 8 + 27 + 6 + 1 = 666.

It is not a de Polignac number, because 136110082761 - 23 = 136110082753 is a prime.

It is not an unprimeable number, because it can be changed into a prime (136110082711) 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 26 ways as a sum of consecutive naturals, for example, 34308600 + ... + 34312566.

Almost surely, 2136110082761 is an apocalyptic number.

136110082761 is the 368931-st square number.

136110082761 is the 184466-th centered octagonal number.

It is an amenable number.

136110082761 is a deficient number, since it is larger than the sum of its proper divisors (67091222052).

136110082761 is an frugal number, since it uses more digits than its factorization.

136110082761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8002 (or 4001 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

Multiplying 136110082761 by its sum of digits (36), we get a square (4899962979396 = 22135862).

The spelling of 136110082761 in words is "one hundred thirty-six billion, one hundred ten million, eighty-two thousand, seven hundred sixty-one".

Divisors: 1 3 9 31 93 279 961 2883 3967 8649 11901 35703 122977 368931 1106793 3812287 11436861 15737089 34310583 47211267 141633801 487849759 1463549277 4390647831 15123342529 45370027587 136110082761