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13314375360 = 26325112132939
BaseRepresentation
bin11000110011001100…
…10011111011000000
31021100220100100101100
430121212103323000
5204231440002420
610041101134400
7650641215606
oct143146237300
937326310340
1013314375360
115712688300
1226b6b5a400
131342563a20
14904401876
1552dd50190
hex319993ec0

13314375360 has 504 divisors, whose sum is σ = 54228217680. Its totient is φ = 2978426880.

The previous prime is 13314375359. The next prime is 13314375413. The reversal of 13314375360 is 6357341331.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4528771 + ... + 4531709.

It is an arithmetic number, because the mean of its divisors is an integer number (107595670).

Almost surely, 213314375360 is an apocalyptic number.

13314375360 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 13314375360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27114108840).

13314375360 is an abundant number, since it is smaller than the sum of its proper divisors (40913842320).

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

13314375360 is a wasteful number, since it uses less digits than its factorization.

13314375360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2997 (or 2973 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The spelling of 13314375360 in words is "thirteen billion, three hundred fourteen million, three hundred seventy-five thousand, three hundred sixty".