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189057127289 is a prime number
BaseRepresentation
bin1011000000010010101…
…1101101001101111001
3200001222201100011011112
42300010223231031321
511044142111033124
6222503542210105
716442004032012
oct2600453551571
9601881304145
10189057127289
11731a6901a48
1230782a23935
1314a9c1a7074
149216a42009
154db791b90e
hex2c04aed379

189057127289 has 2 divisors, whose sum is σ = 189057127290. Its totient is φ = 189057127288.

The previous prime is 189057127229. The next prime is 189057127319. The reversal of 189057127289 is 982721750981.

189057127289 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 137251725625 + 51805401664 = 370475^2 + 227608^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-189057127289 is a prime.

It is not a weakly prime, because it can be changed into another prime (189057127229) 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, 94528563644 + 94528563645.

It is an arithmetic number, because the mean of its divisors is an integer number (94528563645).

Almost surely, 2189057127289 is an apocalyptic number.

It is an amenable number.

189057127289 is a deficient number, since it is larger than the sum of its proper divisors (1).

189057127289 is an equidigital number, since it uses as much as digits as its factorization.

189057127289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5080320, while the sum is 59.

The spelling of 189057127289 in words is "one hundred eighty-nine billion, fifty-seven million, one hundred twenty-seven thousand, two hundred eighty-nine".