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34046164989 = 3223311952733
BaseRepresentation
bin11111101101010011…
…110011111111111101
310020212201212101021200
4133231103303333331
51024211304234424
623350211250113
72313460425144
oct375523637775
9106781771250
1034046164989
1113491199741
126721ba9939
13329772b475
14190d97875b
15d43e6c8c9
hex7ed4f3ffd

34046164989 has 24 divisors (see below), whose sum is σ = 51333384960. Its totient is φ = 21703225632.

The previous prime is 34046164969. The next prime is 34046165003. The reversal of 34046164989 is 98946164043.

It is a happy number.

34046164989 is a `hidden beast` number, since 3 + 40 + 461 + 64 + 9 + 89 = 666.

It is not a de Polignac number, because 34046164989 - 213 = 34046156797 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34046164969) 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, 619267 + ... + 671999.

It is an arithmetic number, because the mean of its divisors is an integer number (2138891040).

Almost surely, 234046164989 is an apocalyptic number.

It is an amenable number.

34046164989 is a deficient number, since it is larger than the sum of its proper divisors (17287219971).

34046164989 is a wasteful number, since it uses less digits than its factorization.

34046164989 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55881 (or 55878 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

It can be divided in two parts, 340461 and 64989, that added together give a triangular number (405450 = T900).

The spelling of 34046164989 in words is "thirty-four billion, forty-six million, one hundred sixty-four thousand, nine hundred eighty-nine".

Divisors: 1 3 9 23 69 207 3119 9357 28071 52733 71737 158199 215211 474597 645633 1212859 3638577 10915731 164474227 493422681 1480268043 3782907221 11348721663 34046164989