Search a number
-
+
50432536238560 = 25572531935631117
BaseRepresentation
bin10110111011110001111010…
…11010000101100111100000
320121120022012011101210202021
423131320331122011213200
523102241313234113220
6255132215354031224
713423426155660400
oct1335707532054740
9217508164353667
1050432536238560
1115084355a2a043
1257a61b6418514
13221a9c9a03288
14c64d3a9ba800
155c6cecb6a4aa
hex2dde3d6859e0

50432536238560 has 576 divisors, whose sum is σ = 142325609654592. Its totient is φ = 16831946686464.

The previous prime is 50432536238549. The next prime is 50432536238561. The reversal of 50432536238560 is 6583263523405.

It is a happy number.

It is a super-3 number, since 3×504325362385603 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 50432536238498 and 50432536238507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50432536238561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45149987122 + ... + 45149988238.

It is an arithmetic number, because the mean of its divisors is an integer number (247093072317).

Almost surely, 250432536238560 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 50432536238560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71162804827296).

50432536238560 is an abundant number, since it is smaller than the sum of its proper divisors (91893073416032).

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

50432536238560 is a wasteful number, since it uses less digits than its factorization.

50432536238560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1955 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 52.

The spelling of 50432536238560 in words is "fifty trillion, four hundred thirty-two billion, five hundred thirty-six million, two hundred thirty-eight thousand, five hundred sixty".