Search a number
-
+
50838073619328 = 273217313791103
BaseRepresentation
bin10111000111100101010010…
…10100011011001110000000
320200000001221202112021010200
423203302221110123032000
523130412333321304303
6300042404423325200
713464633566561562
oct1343625124331600
9220001852467120
1050838073619328
1115220340237586
125850913bb0800
13224a018612888
14c7a80c367332
155d26357693a3
hex2e3ca951b380

50838073619328 has 768 divisors, whose sum is σ = 162233354649600. Its totient is φ = 15225516933120.

The previous prime is 50838073619323. The next prime is 50838073619369. The reversal of 50838073619328 is 82391637083805.

50838073619328 is a `hidden beast` number, since 5 + 0 + 8 + 3 + 8 + 0 + 7 + 3 + 619 + 3 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50838073619323) 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, 46090728025 + ... + 46090729127.

It is an arithmetic number, because the mean of its divisors is an integer number (211241347200).

Almost surely, 250838073619328 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 50838073619328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81116677324800).

50838073619328 is an abundant number, since it is smaller than the sum of its proper divisors (111395281030272).

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

50838073619328 is a wasteful number, since it uses less digits than its factorization.

50838073619328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 50838073619328 in words is "fifty trillion, eight hundred thirty-eight billion, seventy-three million, six hundred nineteen thousand, three hundred twenty-eight".