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240905566188061 is a prime number
BaseRepresentation
bin110110110001101000110010…
…101100100111001000011101
31011120222100101010002210200121
4312301220302230213020131
5223033444044421004221
62212210253403554541
7101512565336102365
oct6661506254471035
91146870333083617
10240905566188061
116a83a527799735
122302914282ba51
13a4563b355bb38
14436bc6a84b9a5
151ccb78eccda41
hexdb1a32b2721d

240905566188061 has 2 divisors, whose sum is σ = 240905566188062. Its totient is φ = 240905566188060.

The previous prime is 240905566188041. The next prime is 240905566188073. The reversal of 240905566188061 is 160881665509042.

240905566188061 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., 165276993120100 + 75628573067961 = 12856010^2 + 8696469^2 .

It is a cyclic number.

It is not a de Polignac number, because 240905566188061 - 217 = 240905566056989 is a prime.

It is a super-3 number, since 3×2409055661880613 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (240905566188011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 120452783094030 + 120452783094031.

It is an arithmetic number, because the mean of its divisors is an integer number (120452783094031).

Almost surely, 2240905566188061 is an apocalyptic number.

It is an amenable number.

240905566188061 is a deficient number, since it is larger than the sum of its proper divisors (1).

240905566188061 is an equidigital number, since it uses as much as digits as its factorization.

240905566188061 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24883200, while the sum is 61.

The spelling of 240905566188061 in words is "two hundred forty trillion, nine hundred five billion, five hundred sixty-six million, one hundred eighty-eight thousand, sixty-one".