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12145155156 = 2232929363149
BaseRepresentation
bin10110100111110100…
…00101110001010100
31011100102020210210100
423103322011301110
5144333124431111
65325052454100
7606653054421
oct132372056124
934312223710
1012145155156
115172694912
12242b47a330
1311b7258454
14833004d48
154b1394756
hex2d3e85c54

12145155156 has 36 divisors (see below), whose sum is σ = 30733384500. Its totient is φ = 4044016128.

The previous prime is 12145155149. The next prime is 12145155173. The reversal of 12145155156 is 65155154121.

12145155156 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 51 + 551 + 56 = 666.

12145155156 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2427138756 + 9718016400 = 49266^2 + 98580^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12145155156.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 148131 + ... + 215018.

It is an arithmetic number, because the mean of its divisors is an integer number (853705125).

Almost surely, 212145155156 is an apocalyptic number.

It is an amenable number.

12145155156 is an abundant number, since it is smaller than the sum of its proper divisors (18588229344).

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

12145155156 is a wasteful number, since it uses less digits than its factorization.

12145155156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364088 (or 364083 counting only the distinct ones).

The product of its digits is 30000, while the sum is 36.

The spelling of 12145155156 in words is "twelve billion, one hundred forty-five million, one hundred fifty-five thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 929 1858 2787 3716 5574 8361 11148 16722 33444 363149 726298 1089447 1452596 2178894 3268341 4357788 6536682 13073364 337365421 674730842 1012096263 1349461684 2024192526 3036288789 4048385052 6072577578 12145155156