Search a number
-
+
2122056571392 = 293219155315607
BaseRepresentation
bin11110111000010100011…
…011011001101000000000
321111212101202211010001100
4132320110123121220000
5234231432440241032
64302505340534400
7306212353146312
oct36702433315000
97455352733040
102122056571392
11748a6068148a
122a3328551400
13125155842294
14749cadb97b2
153a2ed7bc97c
hex1ee146d9a00

2122056571392 has 240 divisors, whose sum is σ = 6451300215360. Its totient is φ = 669648715776.

The previous prime is 2122056571379. The next prime is 2122056571429. The reversal of 2122056571392 is 2931756502212.

2122056571392 is a `hidden beast` number, since 2 + 1 + 2 + 20 + 56 + 571 + 3 + 9 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135960453 + ... + 135976059.

It is an arithmetic number, because the mean of its divisors is an integer number (26880417564).

Almost surely, 22122056571392 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 2122056571392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3225650107680).

2122056571392 is an abundant number, since it is smaller than the sum of its proper divisors (4329243643968).

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

2122056571392 is a wasteful number, since it uses less digits than its factorization.

2122056571392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17203 (or 17184 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 2122056571392 in words is "two trillion, one hundred twenty-two billion, fifty-six million, five hundred seventy-one thousand, three hundred ninety-two".