Search a number
-
+
52045748664 = 233721341431931
BaseRepresentation
bin110000011110001010…
…110001100110111000
311222100011020222012220
4300132022301212320
51323042202424124
635524241004040
73521512364400
oct603612614670
9158304228186
1052045748664
1120088517328
12a106023620
134ba58443b0
14273a2d7800
151549292879
hexc1e2b19b8

52045748664 has 384 divisors, whose sum is σ = 170947687680. Its totient is φ = 13073356800.

The previous prime is 52045748663. The next prime is 52045748747. The reversal of 52045748664 is 46684754025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52045748663) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 26951779 + ... + 26953709.

It is an arithmetic number, because the mean of its divisors is an integer number (445176270).

Almost surely, 252045748664 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 52045748664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85473843840).

52045748664 is an abundant number, since it is smaller than the sum of its proper divisors (118901939016).

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

52045748664 is a wasteful number, since it uses less digits than its factorization.

52045748664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2051 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 51.

The spelling of 52045748664 in words is "fifty-two billion, forty-five million, seven hundred forty-eight thousand, six hundred sixty-four".