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52406331264 = 273476431123
BaseRepresentation
bin110000110011101010…
…010010011110000000
312000021021202110120000
4300303222102132000
51324312010100024
640024121320000
73533451315540
oct606352223600
9160237673500
1052406331264
112025300a381
12a1a6936000
134c32464391
14277215b320
15156ac6bcc9
hexc33a92780

52406331264 has 320 divisors, whose sum is σ = 178676615040. Its totient is φ = 14936638464.

The previous prime is 52406331253. The next prime is 52406331343. The reversal of 52406331264 is 46213360425.

52406331264 is a `hidden beast` number, since 5 + 2 + 4 + 0 + 633 + 12 + 6 + 4 = 666.

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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 46665807 + ... + 46666929.

It is an arithmetic number, because the mean of its divisors is an integer number (558364422).

Almost surely, 252406331264 is an apocalyptic number.

52406331264 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 52406331264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89338307520).

52406331264 is an abundant number, since it is smaller than the sum of its proper divisors (126270283776).

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

52406331264 is a wasteful number, since it uses less digits than its factorization.

52406331264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1799 (or 1778 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 52406331264 its reverse (46213360425), we get a palindrome (98619691689).

The spelling of 52406331264 in words is "fifty-two billion, four hundred six million, three hundred thirty-one thousand, two hundred sixty-four".