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12993145524 = 223440102301
BaseRepresentation
bin11000001100111001…
…11010101010110100
31020112111220011220000
430012130322222310
5203102221124044
65545144111300
7636660625512
oct140634725264
936474804800
1012993145524
1155683235a7
122627465530
1312c0b41ab8
148b38a34b2
15510a4ad69
hex30673aab4

12993145524 has 30 divisors (see below), whose sum is σ = 33966649794. Its totient is φ = 4331048400.

The previous prime is 12993145519. The next prime is 12993145553. The reversal of 12993145524 is 42554139921.

It is a happy number.

12993145524 is a `hidden beast` number, since 1 + 2 + 9 + 93 + 1 + 4 + 552 + 4 = 666.

12993145524 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 only one way, i.e., 8067632400 + 4925513124 = 89820^2 + 70182^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12993145524.

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 9 ways as a sum of consecutive naturals, for example, 20050827 + ... + 20051474.

Almost surely, 212993145524 is an apocalyptic number.

It is an amenable number.

12993145524 is an abundant number, since it is smaller than the sum of its proper divisors (20973504270).

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

12993145524 is a wasteful number, since it uses less digits than its factorization.

12993145524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40102317 (or 40102306 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The spelling of 12993145524 in words is "twelve billion, nine hundred ninety-three million, one hundred forty-five thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 40102301 80204602 120306903 160409204 240613806 360920709 481227612 721841418 1082762127 1443682836 2165524254 3248286381 4331048508 6496572762 12993145524