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12078449604 = 223213214092
BaseRepresentation
bin10110011111110111…
…01000001111000100
31011011202201210222100
423033323220033010
5144214040341404
65314311032100
7605213061534
oct131773501704
934152653870
1012078449604
115138a73a61
12241106b630
1311a64a1300
148281dd4c4
154aa5b9d39
hex2cfee83c4

12078449604 has 81 divisors (see below), whose sum is σ = 33084365223. Its totient is φ = 3713808384.

The previous prime is 12078449599. The next prime is 12078449633. The reversal of 12078449604 is 40694487021.

The square root of 12078449604 is 109902.

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

It can be written as a sum of positive squares in 4 ways, for example, as 9221760900 + 2856688704 = 96030^2 + 53448^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12078449604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8571652 + ... + 8573060.

Almost surely, 212078449604 is an apocalyptic number.

12078449604 is the 109902-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12078449604

12078449604 is an abundant number, since it is smaller than the sum of its proper divisors (21005915619).

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

12078449604 is a wasteful number, since it uses less digits than its factorization.

12078449604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2854 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 12078449604 in words is "twelve billion, seventy-eight million, four hundred forty-nine thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1409 1521 2028 2818 3042 4227 5636 6084 8454 12681 16908 18317 25362 36634 50724 54951 73268 109902 164853 219804 238121 329706 476242 659412 714363 952484 1428726 1985281 2143089 2857452 3970562 4286178 5955843 7941124 8572356 11911686 17867529 23823372 25808653 35735058 51617306 71470116 77425959 103234612 154851918 232277877 309703836 335512489 464555754 671024978 929111508 1006537467 1342049956 2013074934 3019612401 4026149868 6039224802 12078449604