Search a number
-
+
10924076304 = 243275861641
BaseRepresentation
bin10100010110010000…
…00010110100010000
31001012022120120111200
422023020002310100
5134333030420204
65003552511200
7534465054651
oct121310026420
931168516450
1010924076304
1146a63a1239
12214a54b500
13105129379b
14758b89528
1543e093539
hex28b202d10

10924076304 has 30 divisors (see below), whose sum is σ = 30572241726. Its totient is φ = 3641358720.

The previous prime is 10924076263. The next prime is 10924076311. The reversal of 10924076304 is 40367042901.

10924076304 is a `hidden beast` number, since 10 + 9 + 2 + 4 + 0 + 7 + 630 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10650240000 + 273836304 = 103200^2 + 16548^2 .

It is a super-2 number, since 2×109240763042 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 37930677 + ... + 37930964.

Almost surely, 210924076304 is an apocalyptic number.

It is an amenable number.

10924076304 is an abundant number, since it is smaller than the sum of its proper divisors (19648165422).

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

10924076304 is a wasteful number, since it uses less digits than its factorization.

10924076304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75861655 (or 75861646 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 10924076304 in words is "ten billion, nine hundred twenty-four million, seventy-six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 75861641 151723282 227584923 303446564 455169846 606893128 682754769 910339692 1213786256 1365509538 1820679384 2731019076 3641358768 5462038152 10924076304