Search a number
-
+
13306506646314 = 237535977765789
BaseRepresentation
bin1100000110100010100110…
…0110100001001100101010
31202010002102022211102210010
43001220221212201030222
53221003211200140224
644144531425432350
72542235432200260
oct301505146411452
952102368742703
1013306506646314
114270292113742
1215aaa8219b6b6
13756a4b8240ab
1434007737c430
151811ed1aae29
hexc1a299a132a

13306506646314 has 32 divisors (see below), whose sum is σ = 30988737855360. Its totient is φ = 3730125851712.

The previous prime is 13306506646247. The next prime is 13306506646319. The reversal of 13306506646314 is 41364660560331.

It is a happy number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13306506646319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2988880669 + ... + 2988885120.

It is an arithmetic number, because the mean of its divisors is an integer number (968398057980).

Almost surely, 213306506646314 is an apocalyptic number.

13306506646314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13306506646314 is an abundant number, since it is smaller than the sum of its proper divisors (17682231209046).

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

13306506646314 is a wasteful number, since it uses less digits than its factorization.

13306506646314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5977765854.

The product of its (nonzero) digits is 2799360, while the sum is 48.

The spelling of 13306506646314 in words is "thirteen trillion, three hundred six billion, five hundred six million, six hundred forty-six thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 53 106 159 318 371 742 1113 2226 5977765789 11955531578 17933297367 35866594734 41844360523 83688721046 125533081569 251066163138 316821586817 633643173634 950464760451 1900929520902 2217751107719 4435502215438 6653253323157 13306506646314