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11385920484 = 22321117728297
BaseRepresentation
bin10101001101010011…
…10101101111100100
31002101111121200121200
422212221311233210
5141304243423414
65121451442500
7552103504311
oct124651655744
932344550550
1011385920484
114913067644
122259156430
1310c5b79573
147a024bd08
154698c1109
hex2a6a75be4

11385920484 has 36 divisors (see below), whose sum is σ = 28784669004. Its totient is φ = 3794833152.

The previous prime is 11385920473. The next prime is 11385920501. The reversal of 11385920484 is 48402958311.

11385920484 is a `hidden beast` number, since 1 + 1 + 3 + 85 + 92 + 0 + 484 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5413722084 + 5972198400 = 73578^2 + 77280^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 388224 + ... + 416520.

It is an arithmetic number, because the mean of its divisors is an integer number (799574139).

Almost surely, 211385920484 is an apocalyptic number.

It is an amenable number.

11385920484 is an abundant number, since it is smaller than the sum of its proper divisors (17398748520).

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

11385920484 is a wasteful number, since it uses less digits than its factorization.

11385920484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39484 (or 39479 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 11385920484 in words is "eleven billion, three hundred eighty-five million, nine hundred twenty thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 11177 22354 28297 33531 44708 56594 67062 84891 100593 113188 134124 169782 201186 254673 339564 402372 509346 1018692 316275569 632551138 948826707 1265102276 1897653414 2846480121 3795306828 5692960242 11385920484