Search a number
-
+
145969151327977 is a prime number
BaseRepresentation
bin100001001100001000010111…
…011010011011111011101001
3201010211111220010120011222011
4201030020113122123323221
5123113024310214443402
61234241145151555521
742513631434311035
oct4114102732337351
9633744803504864
10145969151327977
114256819557582a
121445597152bba1
13635aaa79136c3
142808d320771c5
1511d1ed50abed7
hex84c21769bee9

145969151327977 has 2 divisors, whose sum is σ = 145969151327978. Its totient is φ = 145969151327976.

The previous prime is 145969151327893. The next prime is 145969151327999. The reversal of 145969151327977 is 779723151969541.

145969151327977 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., 119770610688576 + 26198540639401 = 10943976^2 + 5118451^2 .

It is a cyclic number.

It is not a de Polignac number, because 145969151327977 - 27 = 145969151327849 is a prime.

It is not a weakly prime, because it can be changed into another prime (145969151327477) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72984575663988 + 72984575663989.

It is an arithmetic number, because the mean of its divisors is an integer number (72984575663989).

Almost surely, 2145969151327977 is an apocalyptic number.

It is an amenable number.

145969151327977 is a deficient number, since it is larger than the sum of its proper divisors (1).

145969151327977 is an equidigital number, since it uses as much as digits as its factorization.

145969151327977 is an evil number, because the sum of its binary digits is even.

The product of its digits is 900169200, while the sum is 76.

The spelling of 145969151327977 in words is "one hundred forty-five trillion, nine hundred sixty-nine billion, one hundred fifty-one million, three hundred twenty-seven thousand, nine hundred seventy-seven".