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835668394201 = 257235572
BaseRepresentation
bin11000010100100011011…
…01111100000011011001
32221220000011111220101201
430022101231330003121
5102142422102103301
61435522321514201
7114242433102334
oct14122155740331
92856004456351
10835668394201
112a2450028233
12115b5b7a2961
1360a597c4884
142c63753d61b
1516b0e8a0201
hexc291b7c0d9

835668394201 has 9 divisors (see below), whose sum is σ = 839168594749. Its totient is φ = 832182744064.

The previous prime is 835668394151. The next prime is 835668394213. The reversal of 835668394201 is 102493866538.

The square root of 835668394201 is 914149.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 44458144201 + 791210250000 = 210851^2 + 889500^2 .

It is not a de Polignac number, because 835668394201 - 213 = 835668386009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (835668394241) 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 8 ways as a sum of consecutive naturals, for example, 234934515 + ... + 234938071.

Almost surely, 2835668394201 is an apocalyptic number.

835668394201 is the 914149-th square number.

835668394201 is the 457075-th centered octagonal number.

It is an amenable number.

835668394201 is a deficient number, since it is larger than the sum of its proper divisors (3500200548).

835668394201 is an frugal number, since it uses more digits than its factorization.

835668394201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7628 (or 3814 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 55.

The spelling of 835668394201 in words is "eight hundred thirty-five billion, six hundred sixty-eight million, three hundred ninety-four thousand, two hundred one".

Divisors: 1 257 3557 66049 914149 12652249 234936293 3251627993 835668394201