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8166417820 = 2251137120081
BaseRepresentation
bin1111001101100000…
…11010010110011100
3210002010120000020021
413212300122112130
5113211100332240
63430202401524
7406241256211
oct74660322634
923063500207
108166417820
113510803640
1216bab002a4
13a01b6cac2
14576827b08
1532be1e54a
hex1e6c1a59c

8166417820 has 24 divisors (see below), whose sum is σ = 18708521328. Its totient is φ = 2969606400.

The previous prime is 8166417739. The next prime is 8166417821. The reversal of 8166417820 is 287146618.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8166417821) 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 7 ways as a sum of consecutive naturals, for example, 18559821 + ... + 18560260.

It is an arithmetic number, because the mean of its divisors is an integer number (779521722).

Almost surely, 28166417820 is an apocalyptic number.

It is an amenable number.

8166417820 is an abundant number, since it is smaller than the sum of its proper divisors (10542103508).

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

8166417820 is a wasteful number, since it uses less digits than its factorization.

8166417820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37120101 (or 37120099 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 43.

The square root of 8166417820 is about 90368.2345738811. The cubic root of 8166417820 is about 2013.7730850043.

The spelling of 8166417820 in words is "eight billion, one hundred sixty-six million, four hundred seventeen thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 37120081 74240162 148480324 185600405 371200810 408320891 742401620 816641782 1633283564 2041604455 4083208910 8166417820