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12993149124 = 2232435782837
BaseRepresentation
bin11000001100111001…
…11011100011000100
31020112111220100211100
430012130323203010
5203102221232444
65545144140100
7636660642144
oct140634734304
936474810740
1012993149124
11556832627a
122627467630
1312c0b43627
148b38a4924
15510a4be69
hex30673b8c4

12993149124 has 36 divisors (see below), whose sum is σ = 32851728364. Its totient is φ = 4330003392.

The previous prime is 12993149123. The next prime is 12993149131. The reversal of 12993149124 is 42194139921.

12993149124 is a `hidden beast` number, since 129 + 9 + 31 + 491 + 2 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6459336900 + 6533812224 = 80370^2 + 80832^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 12993149124.

It is not an unprimeable number, because it can be changed into a prime (12993149123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 115434 + ... + 198270.

Almost surely, 212993149124 is an apocalyptic number.

It is an amenable number.

12993149124 is an abundant number, since it is smaller than the sum of its proper divisors (19858579240).

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

12993149124 is a wasteful number, since it uses less digits than its factorization.

12993149124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87204 (or 87199 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The spelling of 12993149124 in words is "twelve billion, nine hundred ninety-three million, one hundred forty-nine thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 4357 8714 13071 17428 26142 39213 52284 78426 82837 156852 165674 248511 331348 497022 745533 994044 1491066 2982132 360920809 721841618 1082762427 1443683236 2165524854 3248287281 4331049708 6496574562 12993149124