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2117079349 = 7411711129
BaseRepresentation
bin111111000110000…
…0001000100110101
312110112122202220021
41332030001010311
513313433014344
6550024205141
7103314610000
oct17614010465
95415582807
102117079349
11997044060
124b10097b1
132797baa98
14161254537
15c5cdcb84
hex7e301135

2117079349 has 40 divisors (see below), whose sum is σ = 2734672320. Its totient is φ = 1624996800.

The previous prime is 2117079337. The next prime is 2117079379. The reversal of 2117079349 is 9439707112.

It is a happy number.

It is not a de Polignac number, because 2117079349 - 25 = 2117079317 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 (2117079379) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1874617 + ... + 1875745.

It is an arithmetic number, because the mean of its divisors is an integer number (68366808).

Almost surely, 22117079349 is an apocalyptic number.

It is an amenable number.

2117079349 is a deficient number, since it is larger than the sum of its proper divisors (617592971).

2117079349 is an equidigital number, since it uses as much as digits as its factorization.

2117079349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 43.

The square root of 2117079349 is about 46011.7305586304. The cubic root of 2117079349 is about 1284.0414556625.

The spelling of 2117079349 in words is "two billion, one hundred seventeen million, seventy-nine thousand, three hundred forty-nine".

Divisors: 1 7 11 49 71 77 343 497 539 781 1129 2401 3479 3773 5467 7903 12419 24353 26411 38269 55321 80159 86933 170471 267883 387247 561113 608531 881749 1875181 2710729 3927791 4259717 6172243 27494537 29818019 43205701 192461759 302439907 2117079349