Search a number
-
+
56552247360 = 2633577312809
BaseRepresentation
bin110100101010110001…
…101101000001000000
312101222020000211021000
4310222301231001000
51411304333403420
641551342532000
74041263112510
oct645261550100
9171866024230
1056552247360
1121a902a6514
12ab63297000
135443384b7b
142a46a15840
15170ec16690
hexd2ac6d040

56552247360 has 448 divisors, whose sum is σ = 231145689600. Its totient is φ = 12748161024.

The previous prime is 56552247359. The next prime is 56552247377. The reversal of 56552247360 is 6374225565.

56552247360 is a `hidden beast` number, since 5 + 6 + 552 + 24 + 73 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4408636 + ... + 4421444.

It is an arithmetic number, because the mean of its divisors is an integer number (515950200).

Almost surely, 256552247360 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 56552247360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115572844800).

56552247360 is an abundant number, since it is smaller than the sum of its proper divisors (174593442240).

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

56552247360 is a wasteful number, since it uses less digits than its factorization.

56552247360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12915 (or 12899 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 56552247360 in words is "fifty-six billion, five hundred fifty-two million, two hundred forty-seven thousand, three hundred sixty".