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11504993825 = 5213291220689
BaseRepresentation
bin10101011011100000…
…00100011000100001
31002200210200020112102
422231300010120201
5142030234300300
65141343540145
7555050556023
oct125560043041
932623606472
1011504993825
1149742a6166
122290bba655
13111473a770
147b1da6013
154750920d5
hex2adc04621

11504993825 has 24 divisors (see below), whose sum is σ = 15893383800. Its totient is φ = 8203023360.

The previous prime is 11504993813. The next prime is 11504993833. The reversal of 11504993825 is 52839940511.

It can be written as a sum of positive squares in 12 ways, for example, as 3015767056 + 8489226769 = 54916^2 + 92137^2 .

It is not a de Polignac number, because 11504993825 - 210 = 11504992801 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11504993825.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 600920 + ... + 619769.

It is an arithmetic number, because the mean of its divisors is an integer number (662224325).

Almost surely, 211504993825 is an apocalyptic number.

It is an amenable number.

11504993825 is a deficient number, since it is larger than the sum of its proper divisors (4388389975).

11504993825 is a wasteful number, since it uses less digits than its factorization.

11504993825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220741 (or 1220736 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 47.

The spelling of 11504993825 in words is "eleven billion, five hundred four million, nine hundred ninety-three thousand, eight hundred twenty-five".

Divisors: 1 5 13 25 29 65 145 325 377 725 1885 9425 1220689 6103445 15868957 30517225 35399981 79344785 176999905 396723925 460199753 884999525 2300998765 11504993825