Search a number
-
+
6415642465146 = 233325873645877
BaseRepresentation
bin101110101011100001000…
…0101110001001101111010
3211201022220011011111002000
41131113002011301031322
51320103213432341041
621351145551321430
71231341413113635
oct135270205611572
924638804144060
106415642465146
112053949a093a2
12877489820276
13376cb9660675
14182739654c1c
15b1d43ca0bb6
hex5d5c217137a

6415642465146 has 32 divisors (see below), whose sum is σ = 14257424671680. Its totient is φ = 2138481276048.

The previous prime is 6415642465139. The next prime is 6415642465231.

6415642465146 is a `hidden beast` number, since 6 + 4 + 1 + 564 + 2 + 4 + 65 + 14 + 6 = 666.

6415642465146 is nontrivially palindromic in base 10.

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 = 6415642465092 and 6415642465101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63241 + ... + 3582636.

It is an arithmetic number, because the mean of its divisors is an integer number (445544520990).

Almost surely, 26415642465146 is an apocalyptic number.

6415642465146 is an abundant number, since it is smaller than the sum of its proper divisors (7841782206534).

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

6415642465146 is a wasteful number, since it uses less digits than its factorization.

6415642465146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3678475 (or 3678469 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 54.

The spelling of 6415642465146 in words is "six trillion, four hundred fifteen billion, six hundred forty-two million, four hundred sixty-five thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 32587 65174 97761 195522 293283 586566 879849 1759698 3645877 7291754 10937631 21875262 32812893 65625786 98438679 196877358 118808193799 237616387598 356424581397 712849162794 1069273744191 2138547488382 3207821232573 6415642465146