Search a number
-
+
52351524288 = 2633731149937
BaseRepresentation
bin110000110000011001…
…001101110111000000
312000010110121222112000
4300300121031313000
51324203442234123
640014442504000
73532214420460
oct606031156700
9160113558460
1052351524288
1120225086058
12a190505000
134c23cb500b
142768b71ba0
151566042b43
hexc3064ddc0

52351524288 has 448 divisors, whose sum is σ = 182977536000. Its totient is φ = 14362583040.

The previous prime is 52351524283. The next prime is 52351524301. The reversal of 52351524288 is 88242515325.

52351524288 is a `hidden beast` number, since 52 + 3 + 51 + 524 + 28 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52351524283) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55870956 + ... + 55871892.

It is an arithmetic number, because the mean of its divisors is an integer number (408432000).

Almost surely, 252351524288 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 52351524288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91488768000).

52351524288 is an abundant number, since it is smaller than the sum of its proper divisors (130626011712).

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

52351524288 is a wasteful number, since it uses less digits than its factorization.

52351524288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1129 counting only the distinct ones).

The product of its digits is 768000, while the sum is 45.

The spelling of 52351524288 in words is "fifty-two billion, three hundred fifty-one million, five hundred twenty-four thousand, two hundred eighty-eight".