Search a number
-
+
5323855680 = 26335111331139
BaseRepresentation
bin1001111010101001…
…11001011101000000
3111202000202220001000
410331110321131000
541400401340210
62240140412000
7245634012063
oct47524713500
914660686030
105323855680
1122921a5630
121046b47000
1366ac8ca80
143870c48da
152125c8ac0
hex13d539740

5323855680 has 896 divisors, whose sum is σ = 22940467200. Its totient is φ = 1144627200.

The previous prime is 5323855673. The next prime is 5323855697. The reversal of 5323855680 is 865583235.

5323855680 is a `hidden beast` number, since 5 + 3 + 2 + 3 + 85 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 38301051 + ... + 38301189.

It is an arithmetic number, because the mean of its divisors is an integer number (25603200).

Almost surely, 25323855680 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 5323855680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11470233600).

5323855680 is an abundant number, since it is smaller than the sum of its proper divisors (17616611520).

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

5323855680 is a wasteful number, since it uses less digits than its factorization.

5323855680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The square root of 5323855680 is about 72964.7564239065. The cubic root of 5323855680 is about 1746.1253792181.

The spelling of 5323855680 in words is "five billion, three hundred twenty-three million, eight hundred fifty-five thousand, six hundred eighty".