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12861450164145 = 351112724832797
BaseRepresentation
bin1011101100101000101000…
…1010110001011110110001
31200112112122120112121202110
42323022022022301132301
53141210222220223040
643204245120435533
72465131503415032
oct273121212613661
950475576477673
1012861450164145
114109568358420
121538775778ba9
13723aa2689c1b
143266d7246a89
15174850e18980
hexbb28a2b17b1

12861450164145 has 48 divisors (see below), whose sum is σ = 22627237560768. Its totient is φ = 6186752127360.

The previous prime is 12861450164063. The next prime is 12861450164201. The reversal of 12861450164145 is 54146105416821.

12861450164145 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12861450164145 - 28 = 12861450163889 is a prime.

It is a super-3 number, since 3×128614501641453 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12861450164094 and 12861450164103.

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, 244887 + ... + 5077683.

It is an arithmetic number, because the mean of its divisors is an integer number (471400782516).

Almost surely, 212861450164145 is an apocalyptic number.

12861450164145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12861450164145 is a deficient number, since it is larger than the sum of its proper divisors (9765787396623).

12861450164145 is a wasteful number, since it uses less digits than its factorization.

12861450164145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4833070 (or 4832943 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The spelling of 12861450164145 in words is "twelve trillion, eight hundred sixty-one billion, four hundred fifty million, one hundred sixty-four thousand, one hundred forty-five".

Divisors: 1 3 5 11 15 33 55 127 165 381 635 1397 1905 4191 6985 16129 20955 48387 80645 177419 241935 532257 887095 2661285 4832797 14498391 24163985 53160767 72491955 159482301 265803835 613765219 797411505 1841295657 3068826095 6751417409 9206478285 20254252227 33757087045 77948182813 101271261135 233844548439 389740914065 857430010943 1169222742195 2572290032829 4287150054715 12861450164145