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145769576327 is a prime number
BaseRepresentation
bin1000011111000010001…
…0110011011110000111
3111221020221011201120022
42013300202303132013
54342014002420302
6150544323525355
713350206645354
oct2076042633607
9457227151508
10145769576327
1156903142241
1224301b2985b
1310990cb099b
1470ab9b962b
153bd24e08a2
hex21f08b3787

145769576327 has 2 divisors, whose sum is σ = 145769576328. Its totient is φ = 145769576326.

The previous prime is 145769576273. The next prime is 145769576333. The reversal of 145769576327 is 723675967541.

145769576327 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with previous prime (145769576273) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 145769576327 - 26 = 145769576263 is a prime.

It is a super-3 number, since 3×1457695763273 (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 145769576327.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (145769576357) 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, 72884788163 + 72884788164.

It is an arithmetic number, because the mean of its divisors is an integer number (72884788164).

Almost surely, 2145769576327 is an apocalyptic number.

145769576327 is a deficient number, since it is larger than the sum of its proper divisors (1).

145769576327 is an equidigital number, since it uses as much as digits as its factorization.

145769576327 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 66679200, while the sum is 62.

The spelling of 145769576327 in words is "one hundred forty-five billion, seven hundred sixty-nine million, five hundred seventy-six thousand, three hundred twenty-seven".