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13358656899456 = 2731122411192969
BaseRepresentation
bin1100001001100100110111…
…1111111100100110000000
31202022002000202201210012020
43002121031333330212000
53222332012131240311
644224514322401440
72546062654060521
oct302311577744600
952262022653166
1013358656899456
114290413618800
1215b8bb7200280
1375b93cbc834b
143427c34ba848
151827516e2c06
hexc264dffc980

13358656899456 has 192 divisors, whose sum is σ = 39164871068400. Its totient is φ = 4031277465600.

The previous prime is 13358656899439. The next prime is 13358656899499. The reversal of 13358656899456 is 65499865685331.

13358656899456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10601340 + ... + 11794308.

Almost surely, 213358656899456 is an apocalyptic number.

13358656899456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13358656899456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19582435534200).

13358656899456 is an abundant number, since it is smaller than the sum of its proper divisors (25806214168944).

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

13358656899456 is a wasteful number, since it uses less digits than its factorization.

13358656899456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193249 (or 1193226 counting only the distinct ones).

The product of its digits is 5038848000, while the sum is 78.

The spelling of 13358656899456 in words is "thirteen trillion, three hundred fifty-eight billion, six hundred fifty-six million, eight hundred ninety-nine thousand, four hundred fifty-six".