Search a number
-
+
52556726880 = 2534571930491
BaseRepresentation
bin110000111100101000…
…000000001001100000
312000122202202100120000
4300330220000021200
51330114010230010
640051053020000
73540255543660
oct607450001140
9160582670500
1052556726880
112031a9a1879
12a229184600
134c57671378
14278810a1a0
1515790787c0
hexc3ca00260

52556726880 has 480 divisors, whose sum is σ = 223142895360. Its totient is φ = 11380331520.

The previous prime is 52556726809. The next prime is 52556726903. The reversal of 52556726880 is 8862765525.

52556726880 is a `hidden beast` number, since 5 + 2 + 556 + 7 + 2 + 6 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1708435 + ... + 1738925.

It is an arithmetic number, because the mean of its divisors is an integer number (464881032).

Almost surely, 252556726880 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 52556726880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111571447680).

52556726880 is an abundant number, since it is smaller than the sum of its proper divisors (170586168480).

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

52556726880 is a wasteful number, since it uses less digits than its factorization.

52556726880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30544 (or 30527 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 52556726880 in words is "fifty-two billion, five hundred fifty-six million, seven hundred twenty-six thousand, eight hundred eighty".