Search a number
-
+
306480492864 = 263272131943963
BaseRepresentation
bin1000111010110111010…
…10010011000101000000
31002022002011010011201100
410131123222103011000
520010133001232424
6352443432334400
731066605130500
oct4353352230500
91068064104640
10306480492864
11108a83280527
124b493844400
1322b9360c780
1410b95aa9a00
157e8b5a9dc9
hex475ba93140

306480492864 has 504 divisors, whose sum is σ = 1158449641440. Its totient is φ = 76574066688.

The previous prime is 306480492817. The next prime is 306480492887. The reversal of 306480492864 is 468294084603.

306480492864 is a `hidden beast` number, since 30 + 6 + 48 + 0 + 492 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a self number, because there is not a number n which added to its sum of digits gives 306480492864.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6949347 + ... + 6993309.

Almost surely, 2306480492864 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 306480492864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579224820720).

306480492864 is an abundant number, since it is smaller than the sum of its proper divisors (851969148576).

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

306480492864 is a wasteful number, since it uses less digits than its factorization.

306480492864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44027 (or 44007 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 306480492864 in words is "three hundred six billion, four hundred eighty million, four hundred ninety-two thousand, eight hundred sixty-four".