Search a number
-
+
18392241924 = 22327232292
BaseRepresentation
bin10001001000010000…
…110101011100000100
31202110210020200210100
4101020100311130010
5300131403220144
612241013324100
71220530322400
oct211020653404
952423220710
1018392241924
117888a39641
123693636630
1319715868b4
14c66972100
15729a38269
hex448435704

18392241924 has 81 divisors (see below), whose sum is σ = 54098703477. Its totient is φ = 5253298848.

The previous prime is 18392241871. The next prime is 18392241961. The reversal of 18392241924 is 42914229381.

The square root of 18392241924 is 135618.

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

18392241924 is a `hidden beast` number, since 18 + 392 + 241 + 9 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5532681924 + 12859560000 = 74382^2 + 113400^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 18392241924.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5694342 + ... + 5697570.

Almost surely, 218392241924 is an apocalyptic number.

18392241924 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

18392241924 is the 135618-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18392241924

18392241924 is an abundant number, since it is smaller than the sum of its proper divisors (35706461553).

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

18392241924 is an equidigital number, since it uses as much as digits as its factorization.

18392241924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6482 (or 3241 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The spelling of 18392241924 in words is "eighteen billion, three hundred ninety-two million, two hundred forty-one thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 3229 6458 9687 12916 19374 22603 29061 38748 45206 58122 67809 90412 116244 135618 158221 203427 271236 316442 406854 474663 632884 813708 949326 1423989 1898652 2847978 5695956 10426441 20852882 31279323 41705764 62558646 72985087 93837969 125117292 145970174 187675938 218955261 291940348 375351876 437910522 510895609 656865783 875821044 1021791218 1313731566 1532686827 2043582436 2627463132 3065373654 4598060481 6130747308 9196120962 18392241924