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65423919961 = 3123722232
BaseRepresentation
bin111100111011100100…
…011100101101011001
320020212111122111011201
4330323210130231121
52032442010414321
650015541354201
74504160100301
oct747344345531
9206774574151
1065423919961
1125823108444
121081a408961
136228383a9a
143248d84601
151a7d9e5291
hexf3b91cb59

65423919961 has 27 divisors (see below), whose sum is σ = 69791883903. Its totient is φ = 61326052560.

The previous prime is 65423919893. The next prime is 65423919991. The reversal of 65423919961 is 16991932456.

The square root of 65423919961 is 255781.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 58542222025 + 6881697936 = 241955^2 + 82956^2 .

It is not a de Polignac number, because 65423919961 - 211 = 65423917913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (65423919991) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 293380696 + ... + 293380918.

It is an arithmetic number, because the mean of its divisors is an integer number (2584884589).

Almost surely, 265423919961 is an apocalyptic number.

65423919961 is the 255781-st square number.

65423919961 is the 127891-st centered octagonal number.

It is an amenable number.

65423919961 is a deficient number, since it is larger than the sum of its proper divisors (4367963942).

65423919961 is an frugal number, since it uses more digits than its factorization.

65423919961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 291 counting only the distinct ones).

The product of its digits is 3149280, while the sum is 55.

The spelling of 65423919961 in words is "sixty-five billion, four hundred twenty-three million, nine hundred nineteen thousand, nine hundred sixty-one".

Divisors: 1 31 37 223 961 1147 1369 6913 8251 35557 42439 49729 214303 255781 305287 1315609 1541599 1839973 7929211 9463897 47789569 57039163 68079001 293380807 1768214053 2110449031 65423919961