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13378675086 = 23271917332303
BaseRepresentation
bin11000111010110111…
…00110000110001110
31021112101100010000200
430131123212012032
5204344420100321
610051315234330
7652351601430
oct143533460616
937471303020
1013378675086
115745a05677
1227145a89a6
131352987aba
1490cb7c650
15534801d26
hex31d6e618e

13378675086 has 96 divisors (see below), whose sum is σ = 35074391040. Its totient is φ = 3600251712.

The previous prime is 13378675061. The next prime is 13378675091. The reversal of 13378675086 is 68057687331.

13378675086 is a `hidden beast` number, since 1 + 3 + 3 + 78 + 67 + 508 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 398011 + ... + 430313.

It is an arithmetic number, because the mean of its divisors is an integer number (365358240).

Almost surely, 213378675086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13378675086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17537195520).

13378675086 is an abundant number, since it is smaller than the sum of its proper divisors (21695715954).

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

13378675086 is a wasteful number, since it uses less digits than its factorization.

13378675086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32510 (or 32507 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 13378675086 in words is "thirteen billion, three hundred seventy-eight million, six hundred seventy-five thousand, eighty-six".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 173 266 342 346 399 519 798 1038 1197 1211 1557 2394 2422 3114 3287 3633 6574 7266 9861 10899 19722 21798 23009 29583 32303 46018 59166 64606 69027 96909 138054 193818 207081 226121 290727 414162 452242 581454 613757 678363 1227514 1356726 1841271 2035089 3682542 4070178 4296299 5523813 5588419 8592598 11047626 11176838 12888897 16765257 25777794 33530514 38666691 39118933 50295771 77333382 78237866 100591542 106179961 117356799 212359922 234713598 318539883 352070397 637079766 704140794 743259727 955619649 1486519454 1911239298 2229779181 4459558362 6689337543 13378675086