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13306462134 = 2373197105361
BaseRepresentation
bin11000110010010000…
…00111111110110110
31021100100110022110220
430121020013332312
5204222423242014
610040215355210
7650514030150
oct143110077666
937310408426
1013306462134
115709172a49
1226b4382b06
131340a22c44
14903341ad0
1552d2da6a9
hex319207fb6

13306462134 has 64 divisors (see below), whose sum is σ = 31719862272. Its totient is φ = 3641241600.

The previous prime is 13306462111. The next prime is 13306462151. The reversal of 13306462134 is 43126460331.

It is a junction number, because it is equal to n+sod(n) for n = 13306462095 and 13306462104.

It is a congruent number.

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, 73614 + ... + 178974.

It is an arithmetic number, because the mean of its divisors is an integer number (495622848).

Almost surely, 213306462134 is an apocalyptic number.

13306462134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13306462134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15859931136).

13306462134 is an abundant number, since it is smaller than the sum of its proper divisors (18413400138).

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

13306462134 is a wasteful number, since it uses less digits than its factorization.

13306462134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105501.

The product of its (nonzero) digits is 31104, while the sum is 33.

The spelling of 13306462134 in words is "thirteen billion, three hundred six million, four hundred sixty-two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 97 186 194 217 291 434 582 651 679 1302 1358 2037 3007 4074 6014 9021 18042 21049 42098 63147 105361 126294 210722 316083 632166 737527 1475054 2212581 3266191 4425162 6532382 9798573 10220017 19597146 20440034 22863337 30660051 45726674 61320102 68590011 71540119 137180022 143080238 214620357 316820527 429240714 633641054 950461581 1900923162 2217743689 4435487378 6653231067 13306462134