Search a number
-
+
12156105177 = 3210176117573
BaseRepresentation
bin10110101001000111…
…10111000111011001
31011101011212010101200
423110203313013121
5144343430331202
65330123304413
7610145121606
oct132443670731
934334763350
1012156105177
115178893817
12243307b109
1311b95c0558
148346556ad
154b2308e1c
hex2d48f71d9

12156105177 has 24 divisors (see below), whose sum is σ = 17756980488. Its totient is φ = 8012832000.

The previous prime is 12156105167. The next prime is 12156105191. The reversal of 12156105177 is 77150165121.

It is a happy number.

12156105177 is a `hidden beast` number, since 1 + 21 + 5 + 610 + 5 + 17 + 7 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2026890441 + 10129214736 = 45021^2 + 100644^2 .

It is not a de Polignac number, because 12156105177 - 219 = 12155580889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12156105127) 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 23 ways as a sum of consecutive naturals, for example, 682963 + ... + 700535.

It is an arithmetic number, because the mean of its divisors is an integer number (739874187).

Almost surely, 212156105177 is an apocalyptic number.

It is an amenable number.

12156105177 is a deficient number, since it is larger than the sum of its proper divisors (5600875311).

12156105177 is a wasteful number, since it uses less digits than its factorization.

12156105177 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18441 (or 18438 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 36.

The spelling of 12156105177 in words is "twelve billion, one hundred fifty-six million, one hundred five thousand, one hundred seventy-seven".

Divisors: 1 3 9 101 303 761 909 2283 6849 17573 52719 76861 158157 230583 691749 1774873 5324619 13373053 15973857 40119159 120357477 1350678353 4052035059 12156105177