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2117083657 = 13179909791
BaseRepresentation
bin111111000110000…
…0010001000001001
312110112122222210211
41332030002020021
513313433134112
6550024241121
7103314625363
oct17614021011
95415588724
102117083657
11997047317
124b10101a1
132797bca30
14161255d33
15c5cde0a7
hex7e302209

2117083657 has 8 divisors (see below), whose sum is σ = 2292675840. Its totient is φ = 1943311440.

The previous prime is 2117083597. The next prime is 2117083679. The reversal of 2117083657 is 7563807112.

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 2117083657 - 211 = 2117081609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2117083687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 452569 + ... + 457222.

It is an arithmetic number, because the mean of its divisors is an integer number (286584480).

Almost surely, 22117083657 is an apocalyptic number.

It is an amenable number.

2117083657 is a deficient number, since it is larger than the sum of its proper divisors (175592183).

2117083657 is a wasteful number, since it uses less digits than its factorization.

2117083657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909983.

The product of its (nonzero) digits is 70560, while the sum is 40.

The square root of 2117083657 is about 46011.7773727553. Note that the first 3 decimals coincide. The cubic root of 2117083657 is about 1284.0423266181.

The spelling of 2117083657 in words is "two billion, one hundred seventeen million, eighty-three thousand, six hundred fifty-seven".

Divisors: 1 13 179 2327 909791 11827283 162852589 2117083657