Search a number
-
+
13015222416 = 2432723749853
BaseRepresentation
bin11000001111100010…
…01000100010010000
31020121001102210200200
430013301020202100
5203123344104131
65551253215200
7640346364600
oct140761104220
936531383620
1013015222416
115579832269
122632931500
1312c55a1651
148b67acc00
1551295c2e6
hex307c48890

13015222416 has 180 divisors, whose sum is σ = 43517456892. Its totient is φ = 3618058752.

The previous prime is 13015222397. The next prime is 13015222427. The reversal of 13015222416 is 61422251031.

13015222416 is a `hidden beast` number, since 13 + 0 + 15 + 222 + 416 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7056000000 + 5959222416 = 84000^2 + 77196^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13015222416.

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, 236146 + ... + 285998.

Almost surely, 213015222416 is an apocalyptic number.

13015222416 is a gapful number since it is divisible by the number (16) 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 13015222416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21758728446).

13015222416 is an abundant number, since it is smaller than the sum of its proper divisors (30502234476).

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

13015222416 is a wasteful number, since it uses less digits than its factorization.

13015222416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49918 (or 49902 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 13015222416 its reverse (61422251031), we get a palindrome (74437473447).

The spelling of 13015222416 in words is "thirteen billion, fifteen million, two hundred twenty-two thousand, four hundred sixteen".