Search a number
-
+
5891506806096 = 24321719839715733
BaseRepresentation
bin101010110111011100100…
…1010111001110101010000
3202212020000020110020220100
41111232321022321311100
51233011301220243341
620310304301212400
71145435013403332
oct125567112716520
922766006406810
105891506806096
11197163500103a
127b1991861100
1333974a099042
14165216ba1452
15a33b92d13b6
hex55bb92b9d50

5891506806096 has 480 divisors, whose sum is σ = 18791093543040. Its totient is φ = 1711996010496.

The previous prime is 5891506806071. The next prime is 5891506806131. The reversal of 5891506806096 is 6906086051985.

5891506806096 is a `hidden beast` number, since 5 + 8 + 9 + 15 + 0 + 6 + 8 + 0 + 609 + 6 = 666.

It is a super-2 number, since 2×58915068060962 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 374460246 + ... + 374475978.

It is an arithmetic number, because the mean of its divisors is an integer number (39148111548).

Almost surely, 25891506806096 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 5891506806096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9395546771520).

5891506806096 is an abundant number, since it is smaller than the sum of its proper divisors (12899586736944).

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

5891506806096 is a wasteful number, since it uses less digits than its factorization.

5891506806096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15963 (or 15954 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 63.

The spelling of 5891506806096 in words is "five trillion, eight hundred ninety-one billion, five hundred six million, eight hundred six thousand, ninety-six".