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34495663122 = 232437772
BaseRepresentation
bin100000001000000110…
…100000110000010010
310022001001200020210200
4200020012200300102
51031121342204442
623502545440030
72330556204264
oct401006406022
9108031606720
1034495663122
11136a19a22a8
126828640016
1333398b08ab
141953545b34
15d6d65c34c
hex8081a0c12

34495663122 has 18 divisors (see below), whose sum is σ = 74742310773. Its totient is φ = 11498291712.

The previous prime is 34495663109. The next prime is 34495663201. The reversal of 34495663122 is 22136659443.

34495663122 is a `hidden beast` number, since 3 + 4 + 4 + 9 + 5 + 6 + 631 + 2 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22529709801 + 11965953321 = 150099^2 + 109389^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=131331.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 766098 + ... + 809874.

Almost surely, 234495663122 is an apocalyptic number.

34495663122 is an abundant number, since it is smaller than the sum of its proper divisors (40246647651).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34495663122 is an frugal number, since it uses more digits than its factorization.

34495663122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87562 (or 43782 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The spelling of 34495663122 in words is "thirty-four billion, four hundred ninety-five million, six hundred sixty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 43777 87554 131331 262662 393993 787986 1916425729 3832851458 5749277187 11498554374 17247831561 34495663122