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13379380053 = 3131492519173
BaseRepresentation
bin11000111010111100…
…10010001101010101
31021112102122221001120
430131132102031111
5204400110130203
610051342314153
7652360565634
oct143536221525
937472587046
1013379380053
115746347296
122714888959
131352b73940
1490ccc351b
155348e0b53
hex31d792355

13379380053 has 32 divisors (see below), whose sum is σ = 19419523200. Its totient is φ = 8144736000.

The previous prime is 13379380037. The next prime is 13379380127. The reversal of 13379380053 is 35008397331.

It is not a de Polignac number, because 13379380053 - 24 = 13379380037 is a prime.

It is a super-2 number, since 2×133793800532 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13379379987 and 13379380014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13379380253) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1453975 + ... + 1463147.

It is an arithmetic number, because the mean of its divisors is an integer number (606860100).

Almost surely, 213379380053 is an apocalyptic number.

13379380053 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13379380053 is a deficient number, since it is larger than the sum of its proper divisors (6040143147).

13379380053 is a wasteful number, since it uses less digits than its factorization.

13379380053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9589.

The product of its (nonzero) digits is 204120, while the sum is 42.

The spelling of 13379380053 in words is "thirteen billion, three hundred seventy-nine million, three hundred eighty thousand, fifty-three".

Divisors: 1 3 13 39 149 251 447 753 1937 3263 5811 9173 9789 27519 37399 112197 119249 357747 486187 1366777 1458561 2302423 4100331 6907269 17768101 29931499 53304303 89794497 343061027 1029183081 4459793351 13379380053