Search a number
-
+
52066971936 = 253374191321
BaseRepresentation
bin110000011111011011…
…101111000100100000
311222101122012020002000
4300133123233010200
51323113121100221
635530315524000
73522160650000
oct603733570440
9158348166060
1052066971936
11200994a2721
12a111159600
134baa065545
14273d060000
15154b085e26
hexc1f6ef120

52066971936 has 480 divisors, whose sum is σ = 186627268800. Its totient is φ = 14082647040.

The previous prime is 52066971923. The next prime is 52066971953. The reversal of 52066971936 is 63917966025.

52066971936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 39414156 + ... + 39415476.

It is an arithmetic number, because the mean of its divisors is an integer number (388806810).

Almost surely, 252066971936 is an apocalyptic number.

52066971936 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52066971936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93313634400).

52066971936 is an abundant number, since it is smaller than the sum of its proper divisors (134560296864).

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

52066971936 is a wasteful number, since it uses less digits than its factorization.

52066971936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1387 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 52066971936 in words is "fifty-two billion, sixty-six million, nine hundred seventy-one thousand, nine hundred thirty-six".