Search a number
-
+
12904278409 = 1122324492
BaseRepresentation
bin11000000010010011…
…11010100110001001
31020022022200021010101
430001021322212021
5202411443402114
65532251245401
7634531361641
oct140111724611
936268607111
1012904278409
115522146400
122601749861
1312a85c86c9
148a5b6d521
15507d44d74
hex30127a989

12904278409 has 27 divisors (see below), whose sum is σ = 14860648999. Its totient is φ = 11196120320.

The previous prime is 12904278389. The next prime is 12904278461. The reversal of 12904278409 is 90487240921.

The square root of 12904278409 is 113597.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7885972809 + 5018305600 = 88803^2 + 70840^2 .

It is not a de Polignac number, because 12904278409 - 211 = 12904276361 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12904278479) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 28739817 + ... + 28740265.

Almost surely, 212904278409 is an apocalyptic number.

12904278409 is the 113597-th square number.

12904278409 is the 56799-th centered octagonal number.

It is an amenable number.

12904278409 is a deficient number, since it is larger than the sum of its proper divisors (1956370590).

12904278409 is an frugal number, since it uses more digits than its factorization.

12904278409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The spelling of 12904278409 in words is "twelve billion, nine hundred four million, two hundred seventy-eight thousand, four hundred nine".

Divisors: 1 11 23 121 253 449 529 2783 4939 5819 10327 54329 64009 113597 201601 237521 1249567 2217611 2612731 4636823 24393721 28740041 51005053 106646929 561055583 1173116219 12904278409