Search a number
-
+
5043217628592 = 24341113193147983
BaseRepresentation
bin100100101100011011100…
…1100011111110110110000
3122212010102111201010120000
41021120313030133312300
51130112002203103332
614420453332150000
71030234430354253
oct111306714376660
918763374633500
105043217628592
1116748a8969590
126954ab468300
132a775b948270
1413614340b09a
158b2bb939b7c
hex4963731fdb0

5043217628592 has 1600 divisors, whose sum is σ = 19049020784640. Its totient is φ = 1264526899200.

The previous prime is 5043217628563. The next prime is 5043217628627. The reversal of 5043217628592 is 2958267123405.

5043217628592 is a `hidden beast` number, since 5 + 0 + 4 + 3 + 2 + 1 + 7 + 628 + 5 + 9 + 2 = 666.

It is a super-2 number, since 2×50432176285922 (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 5130434533 + ... + 5130435515.

It is a 1-persistent number, because it is pandigital, but 2⋅5043217628592 = 10086435257184 is not.

Almost surely, 25043217628592 is an apocalyptic number.

5043217628592 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 5043217628592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9524510392320).

5043217628592 is an abundant number, since it is smaller than the sum of its proper divisors (14005803156048).

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

5043217628592 is a wasteful number, since it uses less digits than its factorization.

5043217628592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 5043217628592 in words is "five trillion, forty-three billion, two hundred seventeen million, six hundred twenty-eight thousand, five hundred ninety-two".