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34646064643 = 1011049327007
BaseRepresentation
bin100000010001000100…
…001111111000000011
310022102112200102220101
4200101010033320003
51031423343032033
623525521223231
72334363455551
oct402104177003
9108375612811
1034646064643
1113769889183
12686aa91b17
133361ac0488
1419694d6bd1
15d7b96a97d
hex81110fe03

34646064643 has 8 divisors (see below), whose sum is σ = 35022556800. Its totient is φ = 34270228800.

The previous prime is 34646064637. The next prime is 34646064701.

It is a happy number.

34646064643 is nontrivially palindromic in base 10.

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 34646064643 - 225 = 34612510211 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34646064593 and 34646064602.

It is not an unprimeable number, because it can be changed into a prime (34646064613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57555 + ... + 269452.

It is an arithmetic number, because the mean of its divisors is an integer number (4377819600).

Almost surely, 234646064643 is an apocalyptic number.

34646064643 is a deficient number, since it is larger than the sum of its proper divisors (376492157).

34646064643 is a wasteful number, since it uses less digits than its factorization.

34646064643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328157.

The product of its (nonzero) digits is 2985984, while the sum is 46.

The spelling of 34646064643 in words is "thirty-four billion, six hundred forty-six million, sixty-four thousand, six hundred forty-three".

Divisors: 1 101 1049 105949 327007 33027707 343030343 34646064643