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34058273249 = 7211134860607
BaseRepresentation
bin11111101110000010…
…000000000111100001
310020220120122112200202
4133232002000013201
51024222404220444
623351322554545
72313665355200
oct375602000741
9106816575622
1034058273249
1113498009870
126726068a55
13329a0aa810
14191140b237
15d4506034e
hex7ee0801e1

34058273249 has 24 divisors (see below), whose sum is σ = 46545182208. Its totient is φ = 24497454240.

The previous prime is 34058273239. The next prime is 34058273261. The reversal of 34058273249 is 94237285043.

It is a de Polignac number, because none of the positive numbers 2k-34058273249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34058273239) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2423297 + ... + 2437310.

It is an arithmetic number, because the mean of its divisors is an integer number (1939382592).

Almost surely, 234058273249 is an apocalyptic number.

It is an amenable number.

34058273249 is a deficient number, since it is larger than the sum of its proper divisors (12486908959).

34058273249 is a wasteful number, since it uses less digits than its factorization.

34058273249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4860645 (or 4860638 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 47.

The spelling of 34058273249 in words is "thirty-four billion, fifty-eight million, two hundred seventy-three thousand, two hundred forty-nine".

Divisors: 1 7 11 13 49 77 91 143 539 637 1001 7007 4860607 34024249 53466677 63187891 238169743 374266739 442315237 695066801 2619867173 3096206659 4865467607 34058273249