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34779900209 = 414611840109
BaseRepresentation
bin100000011001000010…
…110010100100110001
310022202212111222210012
4200121002302210301
51032212123301314
623551101544305
72340610162655
oct403102624461
9108685458705
1034779900209
111382838a88a
1268a7875095
13338374ca12
14197d1b4a65
15d885a593e
hex8190b2931

34779900209 has 8 divisors (see below), whose sum is σ = 35705494440. Its totient is φ = 33857987200.

The previous prime is 34779900193. The next prime is 34779900251. The reversal of 34779900209 is 90200997743.

It can be written as a sum of positive squares in 4 ways, for example, as 3775733809 + 31004166400 = 61447^2 + 176080^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34779900209 - 24 = 34779900193 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34779900289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 901154 + ... + 938955.

It is an arithmetic number, because the mean of its divisors is an integer number (4463186805).

Almost surely, 234779900209 is an apocalyptic number.

It is an amenable number.

34779900209 is a deficient number, since it is larger than the sum of its proper divisors (925594231).

34779900209 is a wasteful number, since it uses less digits than its factorization.

34779900209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1840611.

The product of its (nonzero) digits is 857304, while the sum is 50.

The spelling of 34779900209 in words is "thirty-four billion, seven hundred seventy-nine million, nine hundred thousand, two hundred nine".

Divisors: 1 41 461 18901 1840109 75444469 848290249 34779900209