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5105089892736 = 273247151624419
BaseRepresentation
bin100101001001001111100…
…0100011101000110000000
3200002001010111021210212200
41022102133010131012000
51132120211003031421
614505125041353200
71034554613053101
oct112223704350600
920061114253780
105105089892736
111699069178389
126a5498338800
132b053c247752
141391327c83a8
158cbdd71c726
hex4a49f11d180

5105089892736 has 192 divisors, whose sum is σ = 15102371980800. Its totient is φ = 1654457932800.

The previous prime is 5105089892731. The next prime is 5105089892827. The reversal of 5105089892736 is 6372989805015.

5105089892736 is a `hidden beast` number, since 5 + 1 + 0 + 508 + 9 + 8 + 92 + 7 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5105089892731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7863535 + ... + 8487953.

It is an arithmetic number, because the mean of its divisors is an integer number (78658187400).

Almost surely, 25105089892736 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 5105089892736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7551185990400).

5105089892736 is an abundant number, since it is smaller than the sum of its proper divisors (9997282088064).

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

5105089892736 is a wasteful number, since it uses less digits than its factorization.

5105089892736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624637 (or 624622 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 5105089892736 in words is "five trillion, one hundred five billion, eighty-nine million, eight hundred ninety-two thousand, seven hundred thirty-six".