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191877289441 is a prime number
BaseRepresentation
bin1011001010110011000…
…1110001010111100001
3200100021020222020100121
42302230301301113201
511120431041230231
6224051444120241
716601620023055
oct2625461612741
9610236866317
10191877289441
1174413800572
123122b396081
131512b543476
1494033d3c65
154ed02da311
hex2cacc715e1

191877289441 has 2 divisors, whose sum is σ = 191877289442. Its totient is φ = 191877289440.

The previous prime is 191877289427. The next prime is 191877289459. The reversal of 191877289441 is 144982778191.

191877289441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 191401875025 + 475414416 = 437495^2 + 21804^2 .

It is an emirp because it is prime and its reverse (144982778191) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-191877289441 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 191877289441.

It is not a weakly prime, because it can be changed into another prime (191877289141) 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 as a sum of consecutive naturals, namely, 95938644720 + 95938644721.

It is an arithmetic number, because the mean of its divisors is an integer number (95938644721).

Almost surely, 2191877289441 is an apocalyptic number.

It is an amenable number.

191877289441 is a deficient number, since it is larger than the sum of its proper divisors (1).

191877289441 is an equidigital number, since it uses as much as digits as its factorization.

191877289441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8128512, while the sum is 61.

The spelling of 191877289441 in words is "one hundred ninety-one billion, eight hundred seventy-seven million, two hundred eighty-nine thousand, four hundred forty-one".