Search a number
-
+
5296608889920 = 263252397824339
BaseRepresentation
bin100110100010011011001…
…1111011100110001000000
3200202100110210001220122200
41031010312133130301000
51143234423333434140
615133121210233200
71054444622504265
oct115046637346100
920670423056580
105296608889920
1117623086aa647
12716627725800
132c561149055a
1414450039326c
1592b9c332030
hex4d1367dcc40

5296608889920 has 336 divisors, whose sum is σ = 19206225118080. Its totient is φ = 1337089425408.

The previous prime is 5296608889777. The next prime is 5296608889927. The reversal of 5296608889920 is 299888066925.

5296608889920 is a `hidden beast` number, since 5 + 2 + 9 + 6 + 608 + 8 + 8 + 9 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (5296608889927) 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, 6013111 + ... + 6837449.

It is an arithmetic number, because the mean of its divisors is an integer number (57161384280).

Almost surely, 25296608889920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5296608889920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9603112559040).

5296608889920 is an abundant number, since it is smaller than the sum of its proper divisors (13909616228160).

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

5296608889920 is a wasteful number, since it uses less digits than its factorization.

5296608889920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824482 (or 824469 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 72.

The spelling of 5296608889920 in words is "five trillion, two hundred ninety-six billion, six hundred eight million, eight hundred eighty-nine thousand, nine hundred twenty".