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13686727152 = 243740734307
BaseRepresentation
bin11001011111100101…
…01110000111110000
31022022211222210000110
430233302232013300
5211012300232102
610142042021320
7663112155420
oct145762560760
938284883013
1013686727152
11589388975a
12279b7a7840
1313a1744927
1493ba4a480
155518a186c
hex32fcae1f0

13686727152 has 40 divisors (see below), whose sum is σ = 40408433536. Its totient is φ = 3910493376.

The previous prime is 13686727147. The next prime is 13686727163. The reversal of 13686727152 is 25172768631.

It is a super-2 number, since 2×136867271522 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20366818 + ... + 20367489.

Almost surely, 213686727152 is an apocalyptic number.

13686727152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13686727152 is an abundant number, since it is smaller than the sum of its proper divisors (26721706384).

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

13686727152 is a wasteful number, since it uses less digits than its factorization.

13686727152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40734325 (or 40734319 counting only the distinct ones).

The product of its digits is 846720, while the sum is 48.

The spelling of 13686727152 in words is "thirteen billion, six hundred eighty-six million, seven hundred twenty-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 40734307 81468614 122202921 162937228 244405842 285140149 325874456 488811684 570280298 651748912 855420447 977623368 1140560596 1710840894 1955246736 2281121192 3421681788 4562242384 6843363576 13686727152