Search a number
-
+
13223927808 = 2133571373
BaseRepresentation
bin11000101000011010…
…10010000000000000
31021010121011010200000
430110031102000000
5204040311142213
610024110400000
7645462350250
oct142415220000
937117133600
1013223927808
115676620763
122690800000
1313298b6170
148d63b9960
15525e35c73
hex314352000

13223927808 has 672 divisors, whose sum is σ = 49424758656. Its totient is φ = 3439853568.

The previous prime is 13223927803. The next prime is 13223927861. The reversal of 13223927808 is 80872932231.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (13223927803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 181149660 + ... + 181149732.

It is an arithmetic number, because the mean of its divisors is an integer number (73548748).

Almost surely, 213223927808 is an apocalyptic number.

13223927808 is a gapful number since it is divisible by the number (18) 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 13223927808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24712379328).

13223927808 is an abundant number, since it is smaller than the sum of its proper divisors (36200830848).

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

13223927808 is an frugal number, since it uses more digits than its factorization.

13223927808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 13223927808 in words is "thirteen billion, two hundred twenty-three million, nine hundred twenty-seven thousand, eight hundred eight".