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2117333047 = 16766119181
BaseRepresentation
bin111111000110011…
…1111000000110111
312110120010122220111
41332030333000313
513314014124142
6550033443451
7103320014434
oct17614770067
95416118814
102117333047
119971a7725
124b1110587
132798793bb
141612bcb8b
15c5d3ce17
hex7e33f037

2117333047 has 8 divisors (see below), whose sum is σ = 2133345312. Its totient is φ = 2101360800.

The previous prime is 2117332991. The next prime is 2117333063. The reversal of 2117333047 is 7403337112.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2117333047 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 (2117333147) 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 7 ways as a sum of consecutive naturals, for example, 100797 + ... + 119977.

It is an arithmetic number, because the mean of its divisors is an integer number (266668164).

Almost surely, 22117333047 is an apocalyptic number.

2117333047 is a deficient number, since it is larger than the sum of its proper divisors (16012265).

2117333047 is a wasteful number, since it uses less digits than its factorization.

2117333047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20009.

The product of its (nonzero) digits is 10584, while the sum is 31.

The square root of 2117333047 is about 46014.4873599609. The cubic root of 2117333047 is about 1284.0927442042.

The spelling of 2117333047 in words is "two billion, one hundred seventeen million, three hundred thirty-three thousand, forty-seven".

Divisors: 1 167 661 19181 110387 3203227 12678641 2117333047