Search a number
-
+
146845266097 is a prime number
BaseRepresentation
bin1000100011000010101…
…0001111000010110001
3112001000220021102112011
42020300222033002301
54401214342003342
6151243151402521
713415651111215
oct2106052170261
9461026242464
10146845266097
1157305362952
1224562223441
1310b02acc3ca
1471707ca945
153c46b73717
hex2230a8f0b1

146845266097 has 2 divisors, whose sum is σ = 146845266098. Its totient is φ = 146845266096.

The previous prime is 146845266083. The next prime is 146845266103. The reversal of 146845266097 is 790662548641.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 145442314161 + 1402951936 = 381369^2 + 37456^2 .

It is a cyclic number.

It is not a de Polignac number, because 146845266097 - 219 = 146844741809 is a prime.

It is a super-2 number, since 2×1468452660972 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (146845266017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 73422633048 + 73422633049.

It is an arithmetic number, because the mean of its divisors is an integer number (73422633049).

Almost surely, 2146845266097 is an apocalyptic number.

It is an amenable number.

146845266097 is a deficient number, since it is larger than the sum of its proper divisors (1).

146845266097 is an equidigital number, since it uses as much as digits as its factorization.

146845266097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17418240, while the sum is 58.

The spelling of 146845266097 in words is "one hundred forty-six billion, eight hundred forty-five million, two hundred sixty-six thousand, ninety-seven".