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13853501649 = 3213118405997
BaseRepresentation
bin11001110011011101…
…11010100011010001
31022202110210210121200
430321232322203101
5211332444023044
610210400341413
71000205551431
oct147156724321
938673723550
1013853501649
115969a38919
122827614869
1313ca167a70
14955c602c1
15561346369
hex339bba8d1

13853501649 has 12 divisors (see below), whose sum is σ = 21549891636. Its totient is φ = 8525231712.

The previous prime is 13853501633. The next prime is 13853501653. The reversal of 13853501649 is 94610535831.

13853501649 is a `hidden beast` number, since 1 + 3 + 85 + 3 + 501 + 64 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3847100625 + 10006401024 = 62025^2 + 100032^2 .

It is not a de Polignac number, because 13853501649 - 24 = 13853501633 is a prime.

It is a super-3 number, since 3×138535016493 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (13853501609) by changing a digit.

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, 59202882 + ... + 59203115.

It is an arithmetic number, because the mean of its divisors is an integer number (1795824303).

Almost surely, 213853501649 is an apocalyptic number.

It is an amenable number.

13853501649 is a deficient number, since it is larger than the sum of its proper divisors (7696389987).

13853501649 is a wasteful number, since it uses less digits than its factorization.

13853501649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118406016 (or 118406013 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 13853501649 in words is "thirteen billion, eight hundred fifty-three million, five hundred one thousand, six hundred forty-nine".

Divisors: 1 3 9 13 39 117 118405997 355217991 1065653973 1539277961 4617833883 13853501649