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810166665420 = 223257346728099
BaseRepresentation
bin10111100101000011011…
…00100100000011001100
32212110011220111212002100
423302201230210003030
5101233210131243140
61420104015155100
7112350454014000
oct13624154440314
92773156455070
10810166665420
11292653a63a22
12111023215a90
135b52434c428
142b2d86b0700
151611ab22530
hexbca1b240cc

810166665420 has 288 divisors, whose sum is σ = 2872134720000. Its totient is φ = 184777842816.

The previous prime is 810166665403. The next prime is 810166665437. The reversal of 810166665420 is 24566661018.

It is an interprime number because it is at equal distance from previous prime (810166665403) and next prime (810166665437).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 28818531 + ... + 28846629.

It is an arithmetic number, because the mean of its divisors is an integer number (9972690000).

Almost surely, 2810166665420 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 810166665420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436067360000).

810166665420 is an abundant number, since it is smaller than the sum of its proper divisors (2061968054580).

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

810166665420 is a wasteful number, since it uses less digits than its factorization.

810166665420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28602 (or 28583 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 810166665420 in words is "eight hundred ten billion, one hundred sixty-six million, six hundred sixty-five thousand, four hundred twenty".