Search a number
-
+
53056493568 = 21132131791237
BaseRepresentation
bin110001011010011010…
…011101100000000000
312001221121011010120100
4301122122131200000
51332124430243233
640212424442400
73555534516501
oct613232354000
9161847133510
1053056493568
11205570099a1
12a348619400
1350070741c0
1427d4640ba8
1515a7d97813
hexc5a69d800

53056493568 has 288 divisors, whose sum is σ = 166080423600. Its totient is φ = 16220749824.

The previous prime is 53056493543. The next prime is 53056493639. The reversal of 53056493568 is 86539465035.

It is a happy number.

53056493568 is a `hidden beast` number, since 5 + 30 + 5 + 6 + 49 + 3 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42890646 + ... + 42891882.

Almost surely, 253056493568 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 53056493568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83040211800).

53056493568 is an abundant number, since it is smaller than the sum of its proper divisors (113023930032).

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

53056493568 is a wasteful number, since it uses less digits than its factorization.

53056493568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457 (or 1434 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 53056493568 in words is "fifty-three billion, fifty-six million, four hundred ninety-three thousand, five hundred sixty-eight".