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12777185055869 = 13297271210613
BaseRepresentation
bin1011100111101110101110…
…0100111001010001111101
31200020111010222212121010022
42321323223210321101331
53133320133333241434
643101431403021525
72456056362001313
oct271735344712175
950214128777108
1012777185055869
114086856955373
12152437950a8a5
13718b63a31300
143225c1c680b3
1517256d2a922e
hexb9eeb93947d

12777185055869 has 36 divisors (see below), whose sum is σ = 14031378350388. Its totient is φ = 11628565079040.

The previous prime is 12777185055863. The next prime is 12777185055893. The reversal of 12777185055869 is 96855058177721.

It can be written as a sum of positive squares in 6 ways, for example, as 23444203225 + 12753740852644 = 153115^2 + 3571238^2 .

It is a de Polignac number, because none of the positive numbers 2k-12777185055869 is a prime.

It is a super-2 number, since 2×127771850558692 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12777185055863) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1203913007 + ... + 1203923619.

It is an arithmetic number, because the mean of its divisors is an integer number (389760509733).

Almost surely, 212777185055869 is an apocalyptic number.

It is an amenable number.

12777185055869 is a deficient number, since it is larger than the sum of its proper divisors (1254193294519).

12777185055869 is an equidigital number, since it uses as much as digits as its factorization.

12777185055869 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11278 (or 10994 counting only the distinct ones).

The product of its (nonzero) digits is 296352000, while the sum is 71.

The spelling of 12777185055869 in words is "twelve trillion, seven hundred seventy-seven billion, one hundred eighty-five million, fifty-five thousand, eight hundred sixty-nine".

Divisors: 1 13 97 169 271 1261 3523 10613 16393 26287 45799 73441 137969 341731 954733 1029461 1793597 2876123 4442503 7123777 12411529 13382993 37389599 92609101 173978909 278983931 486064787 779429333 1203918313 3626791103 10132581329 47148284339 75604645301 131723557277 982860388913 12777185055869