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12607144033 = 112123784229
BaseRepresentation
bin10111011110111000…
…11100000001100001
31012112121120021101111
423233130130001201
5201304412102113
65442554503321
7624262645651
oct135734340141
935477507344
1012607144033
11538a449a00
12253a134b41
13125bb92053
14878504361
154dbc0013d
hex2ef71c061

12607144033 has 12 divisors (see below), whose sum is σ = 13868806420. Its totient is φ = 11451638880.

The previous prime is 12607144027. The next prime is 12607144037. The reversal of 12607144033 is 33044170621.

12607144033 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 4691839009 + 7915305024 = 68497^2 + 88968^2 .

It is not a de Polignac number, because 12607144033 - 25 = 12607144001 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12607143986 and 12607144004.

It is not an unprimeable number, because it can be changed into a prime (12607144037) by changing a digit.

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, 107563 + ... + 191791.

Almost surely, 212607144033 is an apocalyptic number.

It is an amenable number.

12607144033 is a deficient number, since it is larger than the sum of its proper divisors (1261662387).

12607144033 is a wasteful number, since it uses less digits than its factorization.

12607144033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85488 (or 85477 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The spelling of 12607144033 in words is "twelve billion, six hundred seven million, one hundred forty-four thousand, thirty-three".

Divisors: 1 11 121 1237 13607 84229 149677 926519 10191709 104191273 1146104003 12607144033