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11492268804 = 223217210512
BaseRepresentation
bin10101011001111111…
…00001101100000100
31002122220201202002100
422230333201230010
5142014010100204
65140211112100
7554534446602
oct125477415404
932586652070
1011492268804
1149680a4715
1222888a2630
131111c03773
147b0412872
15473dcba39
hex2acfe1b04

11492268804 has 81 divisors (see below), whose sum is σ = 30888627861. Its totient is φ = 3601987200.

The previous prime is 11492268797. The next prime is 11492268817. The reversal of 11492268804 is 40886229411.

The square root of 11492268804 is 107202.

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

11492268804 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8947268100 + 2545000704 = 94590^2 + 50448^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11492268804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10934079 + ... + 10935129.

Almost surely, 211492268804 is an apocalyptic number.

11492268804 is the 107202-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11492268804

11492268804 is an abundant number, since it is smaller than the sum of its proper divisors (19396359057).

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

11492268804 is a wasteful number, since it uses less digits than its factorization.

11492268804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 11492268804 in words is "eleven billion, four hundred ninety-two million, two hundred sixty-eight thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 289 306 578 612 867 1051 1156 1734 2102 2601 3153 3468 4204 5202 6306 9459 10404 12612 17867 18918 35734 37836 53601 71468 107202 160803 214404 303739 321606 607478 643212 911217 1104601 1214956 1822434 2209202 2733651 3313803 3644868 4418404 5467302 6627606 9941409 10934604 13255212 18778217 19882818 37556434 39765636 56334651 75112868 112669302 169003953 225338604 319229689 338007906 638459378 676015812 957689067 1276918756 1915378134 2873067201 3830756268 5746134402 11492268804