Search a number
-
+
5299830466560 = 2113657214489
BaseRepresentation
bin100110100011111011010…
…0000110010100000000000
3200202122210022000222000000
41031013312200302200000
51143313023044412220
615134413012000000
71054620511451100
oct115076640624000
920678708028000
105299830466560
11176371114a883
12717186600000
132c5a05a45016
14144728197200
1592cda093390
hex4d1f6832800

5299830466560 has 1008 divisors, whose sum is σ = 22180358409300. Its totient is φ = 1211306213376.

The previous prime is 5299830466529. The next prime is 5299830466613. The reversal of 5299830466560 is 656640389925.

5299830466560 is a `hidden beast` number, since 5 + 2 + 9 + 9 + 8 + 3 + 0 + 4 + 66 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4926695187456 + 373135279104 = 2219616^2 + 610848^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

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 83 ways as a sum of consecutive naturals, for example, 365775796 + ... + 365790284.

Almost surely, 25299830466560 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 5299830466560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11090179204650).

5299830466560 is an abundant number, since it is smaller than the sum of its proper divisors (16880527942740).

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

5299830466560 is an equidigital number, since it uses as much as digits as its factorization.

5299830466560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14548 (or 14506 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 63.

The spelling of 5299830466560 in words is "five trillion, two hundred ninety-nine billion, eight hundred thirty million, four hundred sixty-six thousand, five hundred sixty".