Search a number
-
+
6149378690000 = 245471319218719
BaseRepresentation
bin101100101111100001110…
…0010000100101111010000
3210202212121202220020200022
41121133003202010233100
51301222411421040000
621024552514443012
71203164223300050
oct131370342045720
923685552806608
106149378690000
111a60a33a58167
1283395a593468
13357b64c91bb0
141738bac4b560
15a9e5d23a585
hex597c3884bd0

6149378690000 has 600 divisors, whose sum is σ = 19340227146240. Its totient is φ = 1843648128000.

The previous prime is 6149378689921. The next prime is 6149378690009. The reversal of 6149378690000 is 968739416.

It is a super-2 number, since 2×61493786900002 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6149378690009) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 328500641 + ... + 328519359.

Almost surely, 26149378690000 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 6149378690000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9670113573120).

6149378690000 is an abundant number, since it is smaller than the sum of its proper divisors (13190848456240).

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

6149378690000 is a wasteful number, since it uses less digits than its factorization.

6149378690000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18805 (or 18765 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 53.

The spelling of 6149378690000 in words is "six trillion, one hundred forty-nine billion, three hundred seventy-eight million, six hundred ninety thousand".