Search a number
-
+
52223076864 = 29347593049
BaseRepresentation
bin110000101000101111…
…001110101000000000
311222210111221011210000
4300220233032220000
51323423101424424
635554013440000
73526064554260
oct605057165000
9158714834700
1052223076864
1120169624662
12a1554a0000
134c034c111a
142755a977a0
151559b1e3c9
hexc28bcea00

52223076864 has 400 divisors, whose sum is σ = 181218312000. Its totient is φ = 14663172096.

The previous prime is 52223076859. The next prime is 52223076889. The reversal of 52223076864 is 46867032225.

52223076864 is a `hidden beast` number, since 5 + 222 + 307 + 68 + 64 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17126412 + ... + 17129460.

It is an arithmetic number, because the mean of its divisors is an integer number (453045780).

Almost surely, 252223076864 is an apocalyptic number.

52223076864 is a gapful number since it is divisible by the number (54) 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 52223076864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90609156000).

52223076864 is an abundant number, since it is smaller than the sum of its proper divisors (128995235136).

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

52223076864 is an equidigital number, since it uses as much as digits as its factorization.

52223076864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3145 (or 3120 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 52223076864 in words is "fifty-two billion, two hundred twenty-three million, seventy-six thousand, eight hundred sixty-four".