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13274345136 = 24313199971123
BaseRepresentation
bin11000101110011011…
…00110111010110000
31021021010000121020110
430113031212322300
5204141213021021
610033111141320
7646644033453
oct142715467260
937233017213
1013274345136
1156a2026a78
1226a5674840
1313371894c0
148dcd8149a
1552a594476
hex317366eb0

13274345136 has 160 divisors (see below), whose sum is σ = 38947229440. Its totient is φ = 3862121472.

The previous prime is 13274345113. The next prime is 13274345167. The reversal of 13274345136 is 63154347231.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 13274345094 and 13274345103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11819871 + ... + 11820993.

It is an arithmetic number, because the mean of its divisors is an integer number (243420184).

Almost surely, 213274345136 is an apocalyptic number.

13274345136 is a gapful number since it is divisible by the number (16) 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 13274345136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19473614720).

13274345136 is an abundant number, since it is smaller than the sum of its proper divisors (25672884304).

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

13274345136 is a wasteful number, since it uses less digits than its factorization.

13274345136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2163 (or 2157 counting only the distinct ones).

The product of its digits is 181440, while the sum is 39.

The spelling of 13274345136 in words is "thirteen billion, two hundred seventy-four million, three hundred forty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 208 228 247 304 312 456 494 624 741 912 988 997 1123 1482 1976 1994 2246 2964 2991 3369 3952 3988 4492 5928 5982 6738 7976 8984 11856 11964 12961 13476 14599 15952 17968 18943 21337 23928 25922 26952 29198 37886 38883 42674 43797 47856 51844 53904 56829 58396 64011 75772 77766 85348 87594 103688 113658 116792 128022 151544 155532 170696 175188 207376 227316 233584 246259 256044 277381 303088 311064 341392 350376 454632 492518 512088 554762 622128 700752 738777 832143 909264 985036 1024176 1109524 1119631 1477554 1664286 1970072 2219048 2239262 2955108 3328572 3358893 3940144 4438096 4478524 5910216 6657144 6717786 8957048 11820432 13314288 13435572 14555203 17914096 21272989 26871144 29110406 42545978 43665609 53742288 58220812 63818967 85091956 87331218 116441624 127637934 170183912 174662436 232883248 255275868 276548857 340367824 349324872 510551736 553097714 698649744 829646571 1021103472 1106195428 1659293142 2212390856 3318586284 4424781712 6637172568 13274345136