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13768679637 = 321937926701
BaseRepresentation
bin11001101001010110…
…10110000011010101
31022112120012101200200
430310223112003111
5211144240222022
610154130331113
7665125563066
oct146453260325
938476171620
1013768679637
115926073889
122803129a99
1313b570991b
149488a056d
15558b8dbac
hex334ad60d5

13768679637 has 12 divisors (see below), whose sum is σ = 19991142444. Its totient is φ = 9131558400.

The previous prime is 13768679633. The next prime is 13768679651. The reversal of 13768679637 is 73697686731.

13768679637 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 2 ways, for example, as 1016398161 + 12752281476 = 31881^2 + 112926^2 .

It is not a de Polignac number, because 13768679637 - 22 = 13768679633 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13768679633) 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 11 ways as a sum of consecutive naturals, for example, 3961614 + ... + 3965087.

It is an arithmetic number, because the mean of its divisors is an integer number (1665928537).

Almost surely, 213768679637 is an apocalyptic number.

It is an amenable number.

13768679637 is a deficient number, since it is larger than the sum of its proper divisors (6222462807).

13768679637 is a wasteful number, since it uses less digits than its factorization.

13768679637 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7926900 (or 7926897 counting only the distinct ones).

The product of its digits is 48009024, while the sum is 63.

The spelling of 13768679637 in words is "thirteen billion, seven hundred sixty-eight million, six hundred seventy-nine thousand, six hundred thirty-seven".

Divisors: 1 3 9 193 579 1737 7926701 23780103 71340309 1529853293 4589559879 13768679637