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13867089504 = 2531922933199
BaseRepresentation
bin11001110101000101…
…01111111001100000
31022210102101010122120
430322202233321200
5211344433331004
610212003504240
71000432213242
oct147242577140
938712333576
1013867089504
115976679654
122830088080
1313ccc14708
1495799a092
1556262c3d9
hex33a8afe60

13867089504 has 96 divisors (see below), whose sum is σ = 38485440000. Its totient is φ = 4359826944.

The previous prime is 13867089497. The next prime is 13867089517. The reversal of 13867089504 is 40598076831.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 401097 + ... + 434295.

It is an arithmetic number, because the mean of its divisors is an integer number (400890000).

Almost surely, 213867089504 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 13867089504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19242720000).

13867089504 is an abundant number, since it is smaller than the sum of its proper divisors (24618350496).

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

13867089504 is a wasteful number, since it uses less digits than its factorization.

13867089504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33460 (or 33452 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 13867089504 in words is "thirteen billion, eight hundred sixty-seven million, eighty-nine thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 229 304 456 458 608 687 912 916 1374 1824 1832 2748 3664 4351 5496 7328 8702 10992 13053 17404 21984 26106 33199 34808 52212 66398 69616 99597 104424 132796 139232 199194 208848 265592 398388 417696 531184 630781 796776 1062368 1261562 1593552 1892343 2523124 3187104 3784686 5046248 7569372 7602571 10092496 15138744 15205142 20184992 22807713 30277488 30410284 45615426 60554976 60820568 91230852 121641136 144448849 182461704 243282272 288897698 364923408 433346547 577795396 729846816 866693094 1155590792 1733386188 2311181584 3466772376 4622363168 6933544752 13867089504