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34934549759 = 893173973119
BaseRepresentation
bin100000100010010000…
…101110110011111111
310100011122112000002022
4200202100232303333
51033021221043014
624014304350355
72344465526204
oct404220566377
9110148460068
1034934549759
11138a770832a
12692b6153bb
1333a97b9025
14199594dcab
15d96e52a8e
hex82242ecff

34934549759 has 16 divisors (see below), whose sum is σ = 35539171200. Its totient is φ = 34335316224.

The previous prime is 34934549753. The next prime is 34934549773. The reversal of 34934549759 is 95794543943.

34934549759 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34934549759 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34934549753) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11199002 + ... + 11202120.

It is an arithmetic number, because the mean of its divisors is an integer number (2221198200).

Almost surely, 234934549759 is an apocalyptic number.

34934549759 is a deficient number, since it is larger than the sum of its proper divisors (604621441).

34934549759 is a wasteful number, since it uses less digits than its factorization.

34934549759 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3922.

The product of its digits is 73483200, while the sum is 62.

The spelling of 34934549759 in words is "thirty-four billion, nine hundred thirty-four million, five hundred forty-nine thousand, seven hundred fifty-nine".

Divisors: 1 89 317 397 3119 28213 35333 125849 277591 988723 1238243 11200561 87996347 110203627 392523031 34934549759