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13721396676 = 223131392112999
BaseRepresentation
bin11001100011101101…
…11110010111000100
31022102021020011122220
430301312332113010
5211100134143201
610145321052340
7664012642641
oct146166762704
938367204586
1013721396676
115901409459
1227ab3270b0
1313a8993140
149424b2dc8
1555494e036
hex331dbe5c4

13721396676 has 96 divisors (see below), whose sum is σ = 34903680000. Its totient is φ = 4170337920.

The previous prime is 13721396659. The next prime is 13721396723. The reversal of 13721396676 is 67669312731.

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 31 ways as a sum of consecutive naturals, for example, 4573825 + ... + 4576823.

It is an arithmetic number, because the mean of its divisors is an integer number (363580000).

Almost surely, 213721396676 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 13721396676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17451840000).

13721396676 is an abundant number, since it is smaller than the sum of its proper divisors (21182283324).

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

13721396676 is a wasteful number, since it uses less digits than its factorization.

13721396676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3369 (or 3367 counting only the distinct ones).

The product of its digits is 1714608, while the sum is 51.

The spelling of 13721396676 in words is "thirteen billion, seven hundred twenty-one million, three hundred ninety-six thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 139 156 211 278 417 422 556 633 834 844 1266 1668 1807 2532 2743 2999 3614 5421 5486 5998 7228 8229 8997 10842 10972 11996 16458 17994 21684 29329 32916 35988 38987 58658 77974 87987 116961 117316 155948 175974 233922 351948 381277 416861 467844 632789 762554 833722 1143831 1250583 1265578 1525108 1667444 1898367 2287662 2501166 2531156 3796734 4575324 5002332 5419193 7593468 8226257 10838386 16257579 16452514 21676772 24678771 32515158 32905028 49357542 65030316 87957671 98715084 175915342 263873013 351830684 527746026 1055492052 1143449723 2286899446 3430349169 4573798892 6860698338 13721396676