Search a number
-
+
50823948130560 = 2835511173171397
BaseRepresentation
bin10111000111001010111110…
…10111111101100100000000
320122221201111022221002100000
423203211133113331210000
523130144421210134220
6300032111025200000
713463623546111563
oct1343453727754400
9218851438832300
1050823948130560
1115215351818820
12584a031490000
1322488a70076b7
14c79c6c3464da
155d20aa5e9390
hex2e395f5fd900

50823948130560 has 3456 divisors, whose sum is σ = 221051177238528. Its totient is φ = 11036196864000.

The previous prime is 50823948130537. The next prime is 50823948130661. The reversal of 50823948130560 is 6503184932805.

50823948130560 is a `hidden beast` number, since 5 + 0 + 8 + 2 + 3 + 9 + 48 + 1 + 30 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 50823948130497 and 50823948130506.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 128020020282 + ... + 128020020678.

It is an arithmetic number, because the mean of its divisors is an integer number (63961567488).

Almost surely, 250823948130560 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 50823948130560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110525588619264).

50823948130560 is an abundant number, since it is smaller than the sum of its proper divisors (170227229107968).

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

50823948130560 is a wasteful number, since it uses less digits than its factorization.

50823948130560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 50823948130560 in words is "fifty trillion, eight hundred twenty-three billion, nine hundred forty-eight million, one hundred thirty thousand, five hundred sixty".