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34211609685 = 3351123038121
BaseRepresentation
bin11111110111001010…
…111011110001010101
310021022021011211202000
4133313022323301111
51030031133002220
623414441305513
72320536612201
oct376712736125
9107267154660
1034211609685
111356661a7a0
126769495299
1332c2aa7236
141927923b01
15d5374d390
hex7f72bbc55

34211609685 has 32 divisors (see below), whose sum is σ = 66349791360. Its totient is φ = 16587446400.

The previous prime is 34211609617. The next prime is 34211609791. The reversal of 34211609685 is 58690611243.

34211609685 is a `hidden beast` number, since 3 + 421 + 1 + 60 + 96 + 85 = 666.

It is not a de Polignac number, because 34211609685 - 28 = 34211609429 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 34211609685.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11517576 + ... + 11520545.

It is an arithmetic number, because the mean of its divisors is an integer number (2073430980).

Almost surely, 234211609685 is an apocalyptic number.

It is an amenable number.

34211609685 is a deficient number, since it is larger than the sum of its proper divisors (32138181675).

34211609685 is a wasteful number, since it uses less digits than its factorization.

34211609685 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23038146 (or 23038140 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 34211609685 in words is "thirty-four billion, two hundred eleven million, six hundred nine thousand, six hundred eighty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 99 135 165 297 495 1485 23038121 69114363 115190605 207343089 253419331 345571815 622029267 760257993 1036715445 1267096655 2280773979 3110146335 3801289965 6842321937 11403869895 34211609685