Search a number
-
+
12639386340 = 22335721931811
BaseRepresentation
bin10111100010101110…
…11011101011100100
31012121212020100112000
423301113123223210
5201341140330330
65450105525300
7625134003600
oct136127335344
935555210460
1012639386340
1153a6671039
122548aa3830
131265770839
1487c8d8500
154de96d560
hex2f15dbae4

12639386340 has 576 divisors, whose sum is σ = 49764556800. Its totient is φ = 2645395200.

The previous prime is 12639386327. The next prime is 12639386377. The reversal of 12639386340 is 4368393621.

12639386340 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 9 + 3 + 8 + 634 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15584535 + ... + 15585345.

It is an arithmetic number, because the mean of its divisors is an integer number (86396800).

Almost surely, 212639386340 is an apocalyptic number.

12639386340 is a gapful number since it is divisible by the number (10) 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 12639386340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24882278400).

12639386340 is an abundant number, since it is smaller than the sum of its proper divisors (37125170460).

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

12639386340 is a wasteful number, since it uses less digits than its factorization.

12639386340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 12639386340 in words is "twelve billion, six hundred thirty-nine million, three hundred eighty-six thousand, three hundred forty".