Search a number
-
+
2398042397160 = 23335172331374951
BaseRepresentation
bin100010111001010110011…
…101110001100111101000
322111020202200211200201000
4202321112131301213220
5303242142323202120
65033351230555000
7335152504025124
oct42712635614750
98436680750630
102398042397160
118450054641a3
1232890b668a60
13145199451027
14840cca72584
15425a2ada990
hex22e567719e8

2398042397160 has 1024 divisors, whose sum is σ = 9364842086400. Its totient is φ = 541956096000.

The previous prime is 2398042397099. The next prime is 2398042397173. The reversal of 2398042397160 is 617932408932.

2398042397160 is a `hidden beast` number, since 2 + 3 + 98 + 0 + 4 + 2 + 397 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2398042397097 and 2398042397106.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 484352685 + ... + 484357635.

It is an arithmetic number, because the mean of its divisors is an integer number (9145353600).

Almost surely, 22398042397160 is an apocalyptic number.

2398042397160 is a gapful number since it is divisible by the number (20) 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 2398042397160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4682421043200).

2398042397160 is an abundant number, since it is smaller than the sum of its proper divisors (6966799689240).

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

2398042397160 is a wasteful number, since it uses less digits than its factorization.

2398042397160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5079 (or 5069 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 2398042397160 in words is "two trillion, three hundred ninety-eight billion, forty-two million, three hundred ninety-seven thousand, one hundred sixty".