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353463041313 = 32233168556529
BaseRepresentation
bin1010010010011000000…
…10011111110100100001
31020210100110001220222100
411021030002133310201
521242343014310223
6430213443401013
734352100164424
oct5111402376441
91223313056870
10353463041313
111269a2743568
1258606083169
13274401977b5
141317176d9bb
1592db0b0043
hex524c09fd21

353463041313 has 12 divisors (see below), whose sum is σ = 512748964260. Its totient is φ = 234630686976.

The previous prime is 353463041299. The next prime is 353463041333. The reversal of 353463041313 is 313140364353.

353463041313 is a `hidden beast` number, since 3 + 5 + 3 + 4 + 630 + 4 + 1 + 3 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 151027836129 + 202435205184 = 388623^2 + 449928^2 .

It is not a de Polignac number, because 353463041313 - 234 = 336283172129 is a prime.

It is a super-2 number, since 2×3534630413132 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (353463041333) 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 11 ways as a sum of consecutive naturals, for example, 84276168 + ... + 84280361.

It is an arithmetic number, because the mean of its divisors is an integer number (42729080355).

Almost surely, 2353463041313 is an apocalyptic number.

It is an amenable number.

353463041313 is a deficient number, since it is larger than the sum of its proper divisors (159285922947).

353463041313 is a wasteful number, since it uses less digits than its factorization.

353463041313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168556768 (or 168556765 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

The spelling of 353463041313 in words is "three hundred fifty-three billion, four hundred sixty-three million, forty-one thousand, three hundred thirteen".

Divisors: 1 3 9 233 699 2097 168556529 505669587 1517008761 39273671257 117821013771 353463041313