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12892008132 = 2232358111337
BaseRepresentation
bin11000000000110110…
…00110111011000100
31020021110120212110200
430000123012323010
5202400323230012
65531132250500
7634322155353
oct140033067304
936243525420
1012892008132
115516225583
1225b9610a30
1312a5bc06a3
148a429799a
15506c1e3dc
hex3006c6ec4

12892008132 has 18 divisors (see below), whose sum is σ = 32588131758. Its totient is φ = 4297336032.

The previous prime is 12892008121. The next prime is 12892008133. The reversal of 12892008132 is 23180029821.

It can be written as a sum of positive squares in only one way, i.e., 12279742596 + 612265536 = 110814^2 + 24744^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 358111337 = 12892008132 / (1 + 2 + 8 + 9 + 2 + 0 + 0 + 8 + 1 + 3 + 2).

It is not an unprimeable number, because it can be changed into a prime (12892008133) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 179055633 + ... + 179055704.

Almost surely, 212892008132 is an apocalyptic number.

12892008132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12892008132 is an abundant number, since it is smaller than the sum of its proper divisors (19696123626).

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

12892008132 is a wasteful number, since it uses less digits than its factorization.

12892008132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358111347 (or 358111342 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 12892008132 in words is "twelve billion, eight hundred ninety-two million, eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 358111337 716222674 1074334011 1432445348 2148668022 3223002033 4297336044 6446004066 12892008132