Search a number
-
+
52294152960 = 2833571931367
BaseRepresentation
bin110000101100111110…
…010111001100000000
311222222110200012212000
4300230332113030000
51324044300343320
640005033104000
73530616652230
oct605476271400
9158873605760
1052294152960
11201a5760135
12a175258000
134c1514869a
1427612b9cc0
151560eadc90
hexc2cf97300

52294152960 has 1152 divisors, whose sum is σ = 231073382400. Its totient is φ = 10928701440.

The previous prime is 52294152901. The next prime is 52294152971. The reversal of 52294152960 is 6925149225.

52294152960 is a `hidden beast` number, since 5 + 2 + 29 + 41 + 529 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 127 ways as a sum of consecutive naturals, for example, 142490697 + ... + 142491063.

Almost surely, 252294152960 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 52294152960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115536691200).

52294152960 is an abundant number, since it is smaller than the sum of its proper divisors (178779229440).

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

52294152960 is a wasteful number, since it uses less digits than its factorization.

52294152960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 52294152960 in words is "fifty-two billion, two hundred ninety-four million, one hundred fifty-two thousand, nine hundred sixty".