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827366006953 = 6629531248001
BaseRepresentation
bin11000000101000101101…
…10110110000010101001
32221002120120002221011201
430002202312312002221
5102023421144210303
61432030420524201
7113526621010603
oct14024266660251
92832516087151
10827366006953
1129997a5a5872
12114423250661
13600357291b5
142c08aa40173
15167c5a7381d
hexc0a2db60a9

827366006953 has 4 divisors (see below), whose sum is σ = 827367917908. Its totient is φ = 827364096000.

The previous prime is 827366006927. The next prime is 827366006977. The reversal of 827366006953 is 359600663728.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 160682325904 + 666683681049 = 400852^2 + 816507^2 .

It is a cyclic number.

It is not a de Polignac number, because 827366006953 - 213 = 827365998761 is a prime.

It is a super-2 number, since 2×8273660069532 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 827366006894 and 827366006903.

It is not an unprimeable number, because it can be changed into a prime (827366006983) 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 3 ways as a sum of consecutive naturals, for example, 38953 + ... + 1286953.

It is an arithmetic number, because the mean of its divisors is an integer number (206841979477).

Almost surely, 2827366006953 is an apocalyptic number.

It is an amenable number.

827366006953 is a deficient number, since it is larger than the sum of its proper divisors (1910955).

827366006953 is a wasteful number, since it uses less digits than its factorization.

827366006953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1910954.

The product of its (nonzero) digits is 9797760, while the sum is 55.

The spelling of 827366006953 in words is "eight hundred twenty-seven billion, three hundred sixty-six million, six thousand, nine hundred fifty-three".

Divisors: 1 662953 1248001 827366006953