Search a number
-
+
52033916711232 = 26341912729314197
BaseRepresentation
bin10111101010011000101110…
…00111110011000101000000
320211020101122010021120020000
423311030113013303011000
523310010430134224412
6302400015031120000
713650216651260211
oct1365142707630500
9224211563246200
1052033916711232
111564150750a035
125a04631513000
132305a1492b841
14cbc652775408
156037c55384dc
hex2f53171f3140

52033916711232 has 560 divisors, whose sum is σ = 164211496458240. Its totient is φ = 16245595312128.

The previous prime is 52033916711221. The next prime is 52033916711291. The reversal of 52033916711232 is 23211761933025.

52033916711232 is a `hidden beast` number, since 5 + 2 + 0 + 339 + 16 + 71 + 1 + 232 = 666.

52033916711232 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×520339167112322 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3665127558 + ... + 3665141754.

It is an arithmetic number, because the mean of its divisors is an integer number (293234815104).

Almost surely, 252033916711232 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 52033916711232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82105748229120).

52033916711232 is an abundant number, since it is smaller than the sum of its proper divisors (112177579747008).

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

52033916711232 is a wasteful number, since it uses less digits than its factorization.

52033916711232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14660 (or 14641 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 52033916711232 in words is "fifty-two trillion, thirty-three billion, nine hundred sixteen million, seven hundred eleven thousand, two hundred thirty-two".