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6826064401 = 13677775601
BaseRepresentation
bin1100101101101110…
…10111101000010001
3122121201110000000001
412112313113220101
5102434433030101
63045202130001
7331104406252
oct62667275021
918551400001
106826064401
112993154242
1213a6050901
1384a276480
1448a800b29
1529e40c901
hex196dd7a11

6826064401 has 8 divisors (see below), whose sum is σ = 7362014184. Its totient is φ = 6291667200.

The previous prime is 6826064359. The next prime is 6826064419. The reversal of 6826064401 is 1044606286.

It is a Cunningham number, because it is equal to 826202+1.

It can be written as a sum of positive squares in 4 ways, for example, as 1009714176 + 5816350225 = 31776^2 + 76265^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2k-6826064401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6826064471) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 379000 + ... + 396601.

It is an arithmetic number, because the mean of its divisors is an integer number (920251773).

Almost surely, 26826064401 is an apocalyptic number.

It is an amenable number.

6826064401 is a deficient number, since it is larger than the sum of its proper divisors (535949783).

6826064401 is a wasteful number, since it uses less digits than its factorization.

6826064401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776291.

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 6826064401 is about 82620.0000060518. Note that the first 5 decimals coincide. The cubic root of 6826064401 is about 1896.9539744333.

The spelling of 6826064401 in words is "six billion, eight hundred twenty-six million, sixty-four thousand, four hundred one".

Divisors: 1 13 677 8801 775601 10082813 525081877 6826064401