Search a number
-
+
136183265280 = 2113852027
BaseRepresentation
bin111111011010100100…
…1111011100000000000
3111000111211211200000000
41332311021323200000
54212400403442110
6142321200000000
712560514440556
oct1766511734000
9430454750000
10136183265280
11528339a2927
1222487600000
13cac3c1879a
14683c781bd6
153820aec1c0
hex1fb527b800

136183265280 has 432 divisors, whose sum is σ = 490356954360. Its totient is φ = 36297621504.

The previous prime is 136183265209. The next prime is 136183265327. The reversal of 136183265280 is 82562381631.

136183265280 is a `hidden beast` number, since 1 + 3 + 618 + 3 + 2 + 6 + 5 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 67183627 + ... + 67185653.

Almost surely, 2136183265280 is an apocalyptic number.

136183265280 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 136183265280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245178477180).

136183265280 is an abundant number, since it is smaller than the sum of its proper divisors (354173689080).

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

136183265280 is an frugal number, since it uses more digits than its factorization.

136183265280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2078 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 136183265280 in words is "one hundred thirty-six billion, one hundred eighty-three million, two hundred sixty-five thousand, two hundred eighty".