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90382000866 = 23197459106291
BaseRepresentation
bin101010000101100101…
…1111110001011100010
322122021212200100210120
41110023023332023202
52440100243011431
6105304303541110
76346515221463
oct1241313761342
9278255610716
1090382000866
1135370312a93
12156248ba796
1386a50010b1
144535938d6a
15253eb87196
hex150b2fe2e2

90382000866 has 32 divisors (see below), whose sum is σ = 190305196800. Its totient is φ = 28537589520.

The previous prime is 90382000837. The next prime is 90382000867. The reversal of 90382000866 is 66800028309.

90382000866 is a nontrivial binomial coefficient, being equal to C(425164, 2).

It is not an unprimeable number, because it can be changed into a prime (90382000867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 797181 + ... + 903471.

It is an arithmetic number, because the mean of its divisors is an integer number (5947037400).

Almost surely, 290382000866 is an apocalyptic number.

90382000866 is the 425163-rd triangular number and also the 212582-nd hexagonal number.

90382000866 is an abundant number, since it is smaller than the sum of its proper divisors (99923195934).

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

90382000866 is a wasteful number, since it uses less digits than its factorization.

90382000866 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113774.

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 90382000866 in words is "ninety billion, three hundred eighty-two million, eight hundred sixty-six", and thus it is an aban number.

Divisors: 1 2 3 6 19 38 57 114 7459 14918 22377 44754 106291 141721 212582 283442 318873 425163 637746 850326 2019529 4039058 6058587 12117174 792824569 1585649138 2378473707 4756947414 15063666811 30127333622 45191000433 90382000866