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826665082641 = 3410205741761
BaseRepresentation
bin11000000011110010001…
…01000001111100010001
32221000202201012021210000
430001321011001330101
5102021002230121031
61431433101400213
7113503350156516
oct14017105017421
92830681167700
10826665082641
1129964a984a82
12114268569069
135cc53455198
142c02190530d
151678426c3e6
hexc079141f11

826665082641 has 10 divisors (see below), whose sum is σ = 1234894753202. Its totient is φ = 551110055040.

The previous prime is 826665082559. The next prime is 826665082657. The reversal of 826665082641 is 146280566628.

It can be written as a sum of positive squares in only one way, i.e., 567460890000 + 259204192641 = 753300^2 + 509121^2 .

It is a de Polignac number, because none of the positive numbers 2k-826665082641 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (826665086641) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5102870800 + ... + 5102870961.

Almost surely, 2826665082641 is an apocalyptic number.

826665082641 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

826665082641 is a deficient number, since it is larger than the sum of its proper divisors (408229670561).

826665082641 is a wasteful number, since it uses less digits than its factorization.

826665082641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10205741773 (or 10205741764 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 826665082641 in words is "eight hundred twenty-six billion, six hundred sixty-five million, eighty-two thousand, six hundred forty-one".

Divisors: 1 3 9 27 81 10205741761 30617225283 91851675849 275555027547 826665082641