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13004016444 = 22321000736097
BaseRepresentation
bin11000001110001100…
…11000101100111100
31020120021100110222200
430013012120230330
5203113012011234
65550213111500
7640152213246
oct140706305474
936507313880
1013004016444
115573479031
12262b028590
1312c3179bb3
148b50d3096
15511996d99
hex307198b3c

13004016444 has 36 divisors (see below), whose sum is σ = 32875459344. Its totient is φ = 4334118912.

The previous prime is 13004016413. The next prime is 13004016457. The reversal of 13004016444 is 44461040031.

13004016444 is a `hidden beast` number, since 13 + 0 + 0 + 4 + 0 + 1 + 644 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 342204 + ... + 378300.

It is an arithmetic number, because the mean of its divisors is an integer number (913207204).

Almost surely, 213004016444 is an apocalyptic number.

It is an amenable number.

13004016444 is an abundant number, since it is smaller than the sum of its proper divisors (19871442900).

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

13004016444 is a wasteful number, since it uses less digits than its factorization.

13004016444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46114 (or 46109 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 13004016444 its reverse (44461040031), we get a palindrome (57465056475).

The spelling of 13004016444 in words is "thirteen billion, four million, sixteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 10007 20014 30021 36097 40028 60042 72194 90063 108291 120084 144388 180126 216582 324873 360252 433164 649746 1299492 361222679 722445358 1083668037 1444890716 2167336074 3251004111 4334672148 6502008222 13004016444