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214900315832889 = 3272953327304057
BaseRepresentation
bin110000110111001101100000…
…111111001100001000111001
31001011220021021111122001211200
4300313031200333030020321
5211131411321323123024
62041015501525244413
763160015106210331
oct6067154077141071
91034807244561750
10214900315832889
1162523791936745
1220129154b63709
1392bb02225149b
143b0d3333b00c1
1519ca0b50a42c9
hexc37360fcc239

214900315832889 has 12 divisors (see below), whose sum is σ = 310415823215316. Its totient is φ = 143264912959872.

The previous prime is 214900315832861. The next prime is 214900315832899. The reversal of 214900315832889 is 988238513009412.

214900315832889 is a `hidden beast` number, since 2 + 1 + 49 + 0 + 0 + 3 + 1 + 583 + 2 + 8 + 8 + 9 = 666.

214900315832889 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 90586289688489 + 124314026144400 = 9517683^2 + 11149620^2 .

It is not a de Polignac number, because 214900315832889 - 217 = 214900315701817 is a prime.

It is a super-2 number, since 2×2149003158328892 (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (214900315832899) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 162995452 + ... + 164308605.

It is an arithmetic number, because the mean of its divisors is an integer number (25867985267943).

Almost surely, 2214900315832889 is an apocalyptic number.

It is an amenable number.

214900315832889 is a deficient number, since it is larger than the sum of its proper divisors (95515507382427).

214900315832889 is a wasteful number, since it uses less digits than its factorization.

214900315832889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327377016 (or 327377013 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 214900315832889 in words is "two hundred fourteen trillion, nine hundred billion, three hundred fifteen million, eight hundred thirty-two thousand, eight hundred eighty-nine".

Divisors: 1 3 9 72953 218859 656577 327304057 981912171 2945736513 23877812870321 71633438610963 214900315832889