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2117257047 = 321374673677
BaseRepresentation
bin111111000110010…
…1100011101010111
312110112222210122200
41332030230131113
513314004211142
6550032055543
7103316250033
oct17614543527
95415883580
102117257047
11997155614
124b10945b3
13279850929
1416129d1c3
15c5d2564c
hex7e32c757

2117257047 has 24 divisors (see below), whose sum is σ = 3088019376. Its totient is φ = 1397821056.

The previous prime is 2117256997. The next prime is 2117257063. The reversal of 2117257047 is 7407527112.

2117257047 is a `hidden beast` number, since 2 + 11 + 72 + 570 + 4 + 7 = 666.

It is not a de Polignac number, because 2117257047 - 211 = 2117254999 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2117257547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 573973 + ... + 577649.

It is an arithmetic number, because the mean of its divisors is an integer number (128667474).

Almost surely, 22117257047 is an apocalyptic number.

2117257047 is a deficient number, since it is larger than the sum of its proper divisors (970762329).

2117257047 is a wasteful number, since it uses less digits than its factorization.

2117257047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4287 (or 4284 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 36.

The square root of 2117257047 is about 46013.6615256817. The cubic root of 2117257047 is about 1284.0773801883.

The spelling of 2117257047 in words is "two billion, one hundred seventeen million, two hundred fifty-seven thousand, forty-seven".

Divisors: 1 3 9 137 411 467 1233 1401 3677 4203 11031 33093 63979 191937 503749 575811 1511247 1717159 4533741 5151477 15454431 235250783 705752349 2117257047