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810681011712 = 29341121317243
BaseRepresentation
bin10111100110000000101…
…10101000111000000000
32212111111202100100120000
423303000112220320000
5101240233314333322
61420231031320000
7112366300621605
oct13630026507000
92774452310500
10810681011712
11292898329a00
12111147520000
135b5a6a88450
142b346b1c6ac
151614ad713ac
hexbcc05a8e00

810681011712 has 1800 divisors, whose sum is σ = 3113377142568. Its totient is φ = 208461496320.

The previous prime is 810681011629. The next prime is 810681011719. The reversal of 810681011712 is 217110186018.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (810681011719) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 18853046763 + ... + 18853046805.

Almost surely, 2810681011712 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 810681011712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556688571284).

810681011712 is an abundant number, since it is smaller than the sum of its proper divisors (2302696130856).

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

810681011712 is a wasteful number, since it uses less digits than its factorization.

810681011712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 36.

The spelling of 810681011712 in words is "eight hundred ten billion, six hundred eighty-one million, eleven thousand, seven hundred twelve".