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34680808643 = 13101113233747
BaseRepresentation
bin100000010011001000…
…110010010011000011
310022111222001121201012
4200103020302103003
51032011241334033
623533202031135
72335265003165
oct402310622303
9108458047635
1034680808643
1113787459928
12687a6484ab
133369066860
14196dd7c935
15d7ea30248
hex8132324c3

34680808643 has 16 divisors (see below), whose sum is σ = 38052304416. Its totient is φ = 31415462400.

The previous prime is 34680808567. The next prime is 34680808691.

34680808643 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 34680808643 - 28 = 34680808387 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34680808591 and 34680808600.

It is not an unprimeable number, because it can be changed into a prime (34680828643) 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 15 ways as a sum of consecutive naturals, for example, 31496 + ... + 265242.

It is an arithmetic number, because the mean of its divisors is an integer number (2378269026).

Almost surely, 234680808643 is an apocalyptic number.

34680808643 is a deficient number, since it is larger than the sum of its proper divisors (3371495773).

34680808643 is a wasteful number, since it uses less digits than its factorization.

34680808643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233974.

The product of its (nonzero) digits is 2654208, while the sum is 50.

The spelling of 34680808643 in words is "thirty-four billion, six hundred eighty million, eight hundred eight thousand, six hundred forty-three".

Divisors: 1 13 101 113 1313 1469 11413 148369 233747 3038711 23608447 26413411 306909811 343374343 2667754511 34680808643