Search a number
-
+
145552057193 is a prime number
BaseRepresentation
bin1000011110001110010…
…1000010001101101001
3111220200202212121102002
42013203211002031221
54341042311312233
6150510553420345
713341626033654
oct2074345021551
9456622777362
10145552057193
1156801383964
122426110a6b5
1310957c0153a
14708ab5689b
153bbd3756e8
hex21e3942369

145552057193 has 2 divisors, whose sum is σ = 145552057194. Its totient is φ = 145552057192.

The previous prime is 145552057163. The next prime is 145552057213. The reversal of 145552057193 is 391750255541.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 136166904064 + 9385153129 = 369008^2 + 96877^2 .

It is an emirp because it is prime and its reverse (391750255541) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 145552057193 - 224 = 145535279977 is a prime.

It is a super-2 number, since 2×1455520571932 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (145552057103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72776028596 + 72776028597.

It is an arithmetic number, because the mean of its divisors is an integer number (72776028597).

Almost surely, 2145552057193 is an apocalyptic number.

It is an amenable number.

145552057193 is a deficient number, since it is larger than the sum of its proper divisors (1).

145552057193 is an equidigital number, since it uses as much as digits as its factorization.

145552057193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 945000, while the sum is 47.

The spelling of 145552057193 in words is "one hundred forty-five billion, five hundred fifty-two million, fifty-seven thousand, one hundred ninety-three".