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13366438991360 = 295713113507757
BaseRepresentation
bin1100001010000001110111…
…0110010001011000000000
31202022211010010010000101022
43002200131312101120000
53222443431340210420
644232242435525012
72546456550546230
oct302403566213000
952284103100338
1013366438991360
114293747391614
1215ba609459768
1375c5b0253c60
14342d20c5dcc0
15182a599e7c25
hexc281dd91600

13366438991360 has 320 divisors, whose sum is σ = 39792986335872. Its totient is φ = 4192813449216.

The previous prime is 13366438991309. The next prime is 13366438991383. The reversal of 13366438991360 is 6319983466331.

It is a tau number, because it is divible by the number of its divisors (320).

It is a junction number, because it is equal to n+sod(n) for n = 13366438991293 and 13366438991302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26070602 + ... + 26578358.

Almost surely, 213366438991360 is an apocalyptic number.

13366438991360 is a gapful number since it is divisible by the number (10) 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 13366438991360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19896493167936).

13366438991360 is an abundant number, since it is smaller than the sum of its proper divisors (26426547344512).

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

13366438991360 is a wasteful number, since it uses less digits than its factorization.

13366438991360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507913 (or 507897 counting only the distinct ones).

The product of its (nonzero) digits is 45349632, while the sum is 62.

The spelling of 13366438991360 in words is "thirteen trillion, three hundred sixty-six billion, four hundred thirty-eight million, nine hundred ninety-one thousand, three hundred sixty".