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353207504317 = 5077552112601
BaseRepresentation
bin1010010001111001100…
…11101100110110111101
31020202200122020022010011
411020330303230312331
521241332110114232
6430132234343221
734342545151543
oct5107463546675
91222618208104
10353207504317
11126881478868
125855458ab11
13273cc266a85
1413149851d93
1592c3935547
hex523ccecdbd

353207504317 has 8 divisors (see below), whose sum is σ = 353369103032. Its totient is φ = 353045952000.

The previous prime is 353207504311. The next prime is 353207504329. The reversal of 353207504317 is 713405702353.

It can be written as a sum of positive squares in 4 ways, for example, as 83899439716 + 269308064601 = 289654^2 + 518949^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 353207504317 - 231 = 351060020669 is a prime.

It is a super-2 number, since 2×3532075043172 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 353207504317.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353207504311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28023817 + ... + 28036417.

It is an arithmetic number, because the mean of its divisors is an integer number (44171137879).

Almost surely, 2353207504317 is an apocalyptic number.

It is an amenable number.

353207504317 is a deficient number, since it is larger than the sum of its proper divisors (161598715).

353207504317 is a wasteful number, since it uses less digits than its factorization.

353207504317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23199.

The product of its (nonzero) digits is 264600, while the sum is 40.

The spelling of 353207504317 in words is "three hundred fifty-three billion, two hundred seven million, five hundred four thousand, three hundred seventeen".

Divisors: 1 5077 5521 12601 28030117 63975277 69570121 353207504317