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10065818916 = 22332931432411
BaseRepresentation
bin10010101111111100…
…00011010100100100
3221222111121120201000
421113332003110210
5131103322201131
64342453233300
7504304022556
oct112776032444
927874546630
1010065818916
1142a598a80a
121b4b032830
13c45523b8a
146b6bb74d6
153dda5ece6
hex257f83524

10065818916 has 192 divisors, whose sum is σ = 28527206400. Its totient is φ = 3060892800.

The previous prime is 10065818911. The next prime is 10065818927. The reversal of 10065818916 is 61981856001.

10065818916 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10065818911) 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 63 ways as a sum of consecutive naturals, for example, 4173751 + ... + 4176161.

It is an arithmetic number, because the mean of its divisors is an integer number (148579200).

Almost surely, 210065818916 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 10065818916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14263603200).

10065818916 is an abundant number, since it is smaller than the sum of its proper divisors (18461387484).

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

10065818916 is a wasteful number, since it uses less digits than its factorization.

10065818916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2527 (or 2519 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 10065818916 in words is "ten billion, sixty-five million, eight hundred eighteen thousand, nine hundred sixteen".