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13085174736 = 243290869269
BaseRepresentation
bin11000010111110111…
…11110101111010000
31020202221001202020100
430023323332233100
5203244301042421
610002232412400
7642156102324
oct141373765720
936687052210
1013085174736
1156052704a7
122652247100
131306c2455a
148c1bbb984
15518b78c26
hex30befebd0

13085174736 has 30 divisors (see below), whose sum is σ = 36620315810. Its totient is φ = 4361724864.

The previous prime is 13085174689. The next prime is 13085174759. The reversal of 13085174736 is 63747158031.

It can be written as a sum of positive squares in only one way, i.e., 13031592336 + 53582400 = 114156^2 + 7320^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13085174691 and 13085174700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 45434491 + ... + 45434778.

Almost surely, 213085174736 is an apocalyptic number.

13085174736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13085174736 is an abundant number, since it is smaller than the sum of its proper divisors (23535141074).

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

13085174736 is a wasteful number, since it uses less digits than its factorization.

13085174736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90869283 (or 90869274 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 13085174736 in words is "thirteen billion, eighty-five million, one hundred seventy-four thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 90869269 181738538 272607807 363477076 545215614 726954152 817823421 1090431228 1453908304 1635646842 2180862456 3271293684 4361724912 6542587368 13085174736