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34794249743 = 112319275993
BaseRepresentation
bin100000011001111001…
…100001111000001111
310022210212112000122102
4200121321201320033
51032224311442433
623552333305315
72341143146231
oct403171417017
9108725460572
1034794249743
11138354a0900
1268b063523b
133386705276
14198106c251
15d8998c4e8
hex819e61e0f

34794249743 has 12 divisors (see below), whose sum is σ = 39478630464. Its totient is φ = 30610773600.

The previous prime is 34794249713. The next prime is 34794249751.

34794249743 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34794249743 - 222 = 34790055439 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 (34794249703) 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, 4634246 + ... + 4641747.

It is an arithmetic number, because the mean of its divisors is an integer number (3289885872).

Almost surely, 234794249743 is an apocalyptic number.

34794249743 is a deficient number, since it is larger than the sum of its proper divisors (4684380721).

34794249743 is a wasteful number, since it uses less digits than its factorization.

34794249743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9276046 (or 9276035 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 56.

The spelling of 34794249743 in words is "thirty-four billion, seven hundred ninety-four million, two hundred forty-nine thousand, seven hundred forty-three".

Divisors: 1 11 31 121 341 3751 9275993 102035923 287555783 1122395153 3163113613 34794249743