Search a number
-
+
4519316994192 = 24337111319550049
BaseRepresentation
bin100000111000011110001…
…0010001011100010010000
3121000001010222020101121000
41001300330102023202100
51043021030122303232
613340051235302000
7644336613425010
oct101607422134220
917001128211530
104519316994192
1114926a4696780
1260ba5a14a900
1326a228c81c90
14118a43c55c40
157c8578e227c
hex41c3c48b890

4519316994192 has 640 divisors, whose sum is σ = 18333826560000. Its totient is φ = 1026521579520.

The previous prime is 4519316994161. The next prime is 4519316994209. The reversal of 4519316994192 is 2914996139154.

4519316994192 is a `hidden beast` number, since 4 + 51 + 9 + 3 + 169 + 9 + 419 + 2 = 666.

It is a super-2 number, since 2×45193169941922 (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7941184 + ... + 8491232.

It is an arithmetic number, because the mean of its divisors is an integer number (28646604000).

Almost surely, 24519316994192 is an apocalyptic number.

4519316994192 is a gapful number since it is divisible by the number (42) 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 4519316994192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9166913280000).

4519316994192 is an abundant number, since it is smaller than the sum of its proper divisors (13814509565808).

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

4519316994192 is a wasteful number, since it uses less digits than its factorization.

4519316994192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550116 (or 550104 counting only the distinct ones).

The product of its digits is 18895680, while the sum is 63.

The spelling of 4519316994192 in words is "four trillion, five hundred nineteen billion, three hundred sixteen million, nine hundred ninety-four thousand, one hundred ninety-two".