Search a number
-
+
10824795522 = 23213721792
BaseRepresentation
bin10100001010011010…
…10100010110000010
31000221101202120212200
422011031110112002
5134132121424042
64550044534030
7532151146422
oct120515242602
930841676780
1010824795522
114655351102
122121251316
131036842468
14749904482
154354d1c4c
hex285354582

10824795522 has 54 divisors (see below), whose sum is σ = 23758895433. Its totient is φ = 3561916704.

The previous prime is 10824795521. The next prime is 10824795529. The reversal of 10824795522 is 22559742801.

10824795522 is a `hidden beast` number, since 1 + 0 + 8 + 24 + 79 + 552 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10741456881 + 83338641 = 103641^2 + 9129^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=73569.

It is a super-2 number, since 2×108247955222 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10824795521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 60473629 + ... + 60473807.

Almost surely, 210824795522 is an apocalyptic number.

10824795522 is an abundant number, since it is smaller than the sum of its proper divisors (12934099911).

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

10824795522 is an equidigital number, since it uses as much as digits as its factorization.

10824795522 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 10824795522 in words is "ten billion, eight hundred twenty-four million, seven hundred ninety-five thousand, five hundred twenty-two".

Divisors: 1 2 3 6 9 18 137 179 274 358 411 537 822 1074 1233 1611 2466 3222 18769 24523 32041 37538 49046 56307 64082 73569 96123 112614 147138 168921 192246 220707 288369 337842 441414 576738 3359651 4389617 6719302 8779234 10078953 13168851 20157906 26337702 30236859 39506553 60473718 79013106 601377529 1202755058 1804132587 3608265174 5412397761 10824795522