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13649008685 = 513267324001
BaseRepresentation
bin11001011011000101…
…10101100000101101
31022020020000111000012
430231202311200231
5210423121234220
610134213343005
7662143442144
oct145542654055
938206014005
1013649008685
115874567274
12278b037a65
131396999700
14936a2c75b
1554d400ac5
hex32d8b582d

13649008685 has 24 divisors (see below), whose sum is σ = 17762728104. Its totient is φ = 10063872000.

The previous prime is 13649008679. The next prime is 13649008687. The reversal of 13649008685 is 58680094631.

13649008685 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 10415835364 + 3233173321 = 102058^2 + 56861^2 .

It is not a de Polignac number, because 13649008685 - 216 = 13648943149 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13649008687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 556685 + ... + 580685.

It is an arithmetic number, because the mean of its divisors is an integer number (740113671).

Almost surely, 213649008685 is an apocalyptic number.

It is an amenable number.

13649008685 is a deficient number, since it is larger than the sum of its proper divisors (4113719419).

13649008685 is a wasteful number, since it uses less digits than its factorization.

13649008685 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24705 (or 24692 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 50.

The spelling of 13649008685 in words is "thirteen billion, six hundred forty-nine million, eight thousand, six hundred eighty-five".

Divisors: 1 5 13 65 169 673 845 3365 8749 24001 43745 113737 120005 312013 568685 1560065 4056169 16152673 20280845 80763365 209984749 1049923745 2729801737 13649008685