Search a number
-
+
52259360544 = 25331731114773
BaseRepresentation
bin110000101010111001…
…101000111100100000
311222220001012120122000
4300222321220330200
51324011344014134
640001351244000
73530015143506
oct605271507440
9158801176560
1052259360544
1120188057076
12a165679600
134c0ab86261
14275a820676
15155cdd9e99
hexc2ae68f20

52259360544 has 192 divisors, whose sum is σ = 166596756480. Its totient is φ = 15866081280.

The previous prime is 52259360539. The next prime is 52259360551. The reversal of 52259360544 is 44506395225.

52259360544 is a `hidden beast` number, since 5 + 2 + 2 + 593 + 6 + 0 + 54 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 52259360544.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 397942 + ... + 512714.

It is an arithmetic number, because the mean of its divisors is an integer number (867691440).

Almost surely, 252259360544 is an apocalyptic number.

52259360544 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 52259360544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83298378240).

52259360544 is an abundant number, since it is smaller than the sum of its proper divisors (114337395936).

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

52259360544 is a wasteful number, since it uses less digits than its factorization.

52259360544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114840 (or 114826 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 52259360544 in words is "fifty-two billion, two hundred fifty-nine million, three hundred sixty thousand, five hundred forty-four".