Search a number
-
+
13309337747160 = 23335713135422647
BaseRepresentation
bin1100000110101101001001…
…0110010011111011011000
31202010100201122001021001000
43001223102112103323120
53221030010430402120
644150120402025000
72542365540150510
oct301532226237330
952110648037030
1013309337747160
114271505203704
1215ab532348160
137570b02203b0
1434026537a840
151813169da990
hexc1ad2593ed8

13309337747160 has 256 divisors, whose sum is σ = 54602411673600. Its totient is φ = 2808123987456.

The previous prime is 13309337747137. The next prime is 13309337747183. The reversal of 13309337747160 is 6174773390331.

13309337747160 is a `hidden beast` number, since 1 + 330 + 93 + 37 + 74 + 71 + 60 = 666.

13309337747160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13309337747137) and next prime (13309337747183).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 13309337747097 and 13309337747106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67613044 + ... + 67809603.

It is an arithmetic number, because the mean of its divisors is an integer number (213290670600).

Almost surely, 213309337747160 is an apocalyptic number.

13309337747160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13309337747160 is an abundant number, since it is smaller than the sum of its proper divisors (41293073926440).

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

13309337747160 is a wasteful number, since it uses less digits than its factorization.

13309337747160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135422687 (or 135422677 counting only the distinct ones).

The product of its (nonzero) digits is 6001128, while the sum is 54.

The spelling of 13309337747160 in words is "thirteen trillion, three hundred nine billion, three hundred thirty-seven million, seven hundred forty-seven thousand, one hundred sixty".