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13878968579406 = 2327412686598641
BaseRepresentation
bin1100100111110111001011…
…1111011111010101001110
31211010211001011221202012100
43021331302333133111032
53304343111424020111
645303524331415530
72631502531301040
oct311756277372516
954124034852170
1013878968579406
114471045a36a57
121681a065b45a6
13798a2017ac48
1435da62159a90
1519105560b756
hexc9f72fdf54e

13878968579406 has 48 divisors (see below), whose sum is σ = 35205188604768. Its totient is φ = 3868702041600.

The previous prime is 13878968579369. The next prime is 13878968579459. The reversal of 13878968579406 is 60497586987831.

13878968579406 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 89 + 68 + 5 + 79 + 406 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1343294155 + ... + 1343304486.

It is an arithmetic number, because the mean of its divisors is an integer number (733441429266).

Almost surely, 213878968579406 is an apocalyptic number.

13878968579406 is an abundant number, since it is smaller than the sum of its proper divisors (21326220025362).

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

13878968579406 is a wasteful number, since it uses less digits than its factorization.

13878968579406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2686598697 (or 2686598694 counting only the distinct ones).

The product of its (nonzero) digits is 4389396480, while the sum is 81.

The spelling of 13878968579406 in words is "thirteen trillion, eight hundred seventy-eight billion, nine hundred sixty-eight million, five hundred seventy-nine thousand, four hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 63 82 123 126 246 287 369 574 738 861 1722 2583 5166 2686598641 5373197282 8059795923 16119591846 18806190487 24179387769 37612380974 48358775538 56418571461 110150544281 112837142922 169255714383 220301088562 330451632843 338511428766 660903265686 771053809967 991354898529 1542107619934 1982709797058 2313161429901 4626322859802 6939484289703 13878968579406