Search a number
-
+
52241656320 = 2937573143
BaseRepresentation
bin110000101001110110…
…000110101000000000
311222211210220010000000
4300221312012220000
51323442331000240
635555520000000
73526411515630
oct605166065000
9158753803000
1052241656320
1120179064687
12a15b760000
134c072c7a99
1427583326c0
15155b58e430
hexc29d86a00

52241656320 has 1280 divisors, whose sum is σ = 226774056960. Its totient is φ = 11287019520.

The previous prime is 52241656297. The next prime is 52241656373. The reversal of 52241656320 is 2365614225.

52241656320 is a `hidden beast` number, since 5 + 2 + 2 + 4 + 16 + 5 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1214922219 + ... + 1214922261.

It is an arithmetic number, because the mean of its divisors is an integer number (177167232).

Almost surely, 252241656320 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 52241656320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113387028480).

52241656320 is an abundant number, since it is smaller than the sum of its proper divisors (174532400640).

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

52241656320 is an frugal number, since it uses more digits than its factorization.

52241656320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 52241656320 in words is "fifty-two billion, two hundred forty-one million, six hundred fifty-six thousand, three hundred twenty".