Search a number
-
+
5149758062592 = 22334111353
BaseRepresentation
bin100101011110000010110…
…0000000000000000000000
3200020022102111022221120000
41022330011200000000000
51133333201031000332
614541433255320000
71041025543201413
oct112740540000000
920208374287500
105149758062592
111706000199540
126b2083680000
132b480a494aa0
1413b36cd59b7a
158de54e60b7c
hex4af05800000

5149758062592 has 960 divisors, whose sum is σ = 18416550232080. Its totient is φ = 1413312675840.

The previous prime is 5149758062563. The next prime is 5149758062599. The reversal of 5149758062592 is 2952608579415.

5149758062592 is a `hidden beast` number, since 5 + 1 + 49 + 7 + 580 + 6 + 2 + 5 + 9 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5149758062599) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 97165246438 + ... + 97165246490.

Almost surely, 25149758062592 is an apocalyptic number.

5149758062592 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5149758062592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9208275116040).

5149758062592 is an abundant number, since it is smaller than the sum of its proper divisors (13266792169488).

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

5149758062592 is an frugal number, since it uses more digits than its factorization.

5149758062592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 63.

The spelling of 5149758062592 in words is "five trillion, one hundred forty-nine billion, seven hundred fifty-eight million, sixty-two thousand, five hundred ninety-two".