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818009010 = 23357133197
BaseRepresentation
bin110000110000011…
…101001110110010
32010000020011102000
4300300131032302
53133402242020
6213100434430
726161650630
oct6060351662
92100204360
10818009010
1138a821305
121a9b48a16
1310061a000
147a8d6350
154bc33090
hex30c1d3b2

818009010 has 256 divisors, whose sum is σ = 2714342400. Its totient is φ = 171714816.

The previous prime is 818008993. The next prime is 818009011. The reversal of 818009010 is 10900818.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (818009011) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4152232 + ... + 4152428.

It is an arithmetic number, because the mean of its divisors is an integer number (10602900).

Almost surely, 2818009010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 818009010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357171200).

818009010 is an abundant number, since it is smaller than the sum of its proper divisors (1896333390).

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

818009010 is a wasteful number, since it uses less digits than its factorization.

818009010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 818009010 is about 28600.8568053476. The cubic root of 818009010 is about 935.2320089220.

Adding to 818009010 its reverse (10900818), we get a palindrome (828909828).

The spelling of 818009010 in words is "eight hundred eighteen million, nine thousand, ten".