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217889130961 = 2932712296979
BaseRepresentation
bin1100101011101100110…
…1000100100111010001
3202211102001211200210101
43022323031010213101
512032214104142321
6244032532132401
721512332024525
oct3127315044721
9684361750711
10217889130961
1184451809057
123628a767101
13177155a1978
14a78dccbd85
155a03c2c791
hex32bb3449d1

217889130961 has 8 divisors (see below), whose sum is σ = 225471556800. Its totient is φ = 210311305680.

The previous prime is 217889130959. The next prime is 217889130973. The reversal of 217889130961 is 169031988712.

It is a happy number.

217889130961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 217889130961 - 21 = 217889130959 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (217889130931) 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, 1053631 + ... + 1243348.

It is an arithmetic number, because the mean of its divisors is an integer number (28183944600).

Almost surely, 2217889130961 is an apocalyptic number.

It is an amenable number.

217889130961 is a deficient number, since it is larger than the sum of its proper divisors (7582425839).

217889130961 is a wasteful number, since it uses less digits than its factorization.

217889130961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2300279.

The product of its (nonzero) digits is 1306368, while the sum is 55.

The spelling of 217889130961 in words is "two hundred seventeen billion, eight hundred eighty-nine million, one hundred thirty thousand, nine hundred sixty-one".

Divisors: 1 29 3271 94859 2296979 66612391 7513418309 217889130961