Search a number
-
+
5604372293184 = 263371811255839
BaseRepresentation
bin101000110001101111010…
…0111101010011001000000
3201211202212100012200121000
41101203132213222121000
51213310223301340214
615530340232132000
71115621366330460
oct121433647523100
921752770180530
105604372293184
11187088a0656a5
127661b8b37000
1331864a8034b2
141553785b1ba0
159abb1353809
hex518de9ea640

5604372293184 has 224 divisors, whose sum is σ = 18839975731200. Its totient is φ = 1600358791680.

The previous prime is 5604372293141. The next prime is 5604372293189. The reversal of 5604372293184 is 4813922734065.

5604372293184 is a `hidden beast` number, since 5 + 6 + 0 + 4 + 372 + 2 + 93 + 184 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a self number, because there is not a number n which added to its sum of digits gives 5604372293184.

It is not an unprimeable number, because it can be changed into a prime (5604372293189) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21777937 + ... + 22033775.

It is a 1-persistent number, because it is pandigital, but 2⋅5604372293184 = 11208744586368 is not.

Almost surely, 25604372293184 is an apocalyptic number.

5604372293184 is a gapful number since it is divisible by the number (54) 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 5604372293184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9419987865600).

5604372293184 is an abundant number, since it is smaller than the sum of its proper divisors (13235603438016).

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

5604372293184 is a wasteful number, since it uses less digits than its factorization.

5604372293184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257678 (or 257662 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 5604372293184 in words is "five trillion, six hundred four billion, three hundred seventy-two million, two hundred ninety-three thousand, one hundred eighty-four".