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13567680688 = 2417212172411
BaseRepresentation
bin11001010001011001…
…00110000010110000
31022000112222120222011
430220230212002300
5210241311240223
610122150252304
7660135245242
oct145054460260
938015876864
1013567680688
115832669351
122767957094
131382b92a33
14929cdc092
155461d880d
hex328b260b0

13567680688 has 60 divisors (see below), whose sum is σ = 27959194872. Its totient is φ = 6376898560.

The previous prime is 13567680661. The next prime is 13567680697. The reversal of 13567680688 is 88608676531.

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 11 ways as a sum of consecutive naturals, for example, 5626203 + ... + 5628613.

Almost surely, 213567680688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13567680688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13979597436).

13567680688 is an abundant number, since it is smaller than the sum of its proper divisors (14391514184).

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

13567680688 is a wasteful number, since it uses less digits than its factorization.

13567680688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3670 (or 3647 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 58.

The spelling of 13567680688 in words is "thirteen billion, five hundred sixty-seven million, six hundred eighty thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1156 1217 2312 2411 2434 4624 4822 4868 9644 9736 19288 19472 20689 38576 40987 41378 81974 82756 163948 165512 327896 331024 351713 655792 696779 703426 1393558 1406852 2787116 2813704 2934187 5574232 5627408 5868374 11148464 11736748 23473496 46946992 49881179 99762358 199524716 399049432 798098864 847980043 1695960086 3391920172 6783840344 13567680688