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12804270607161 = 3211229340129093
BaseRepresentation
bin1011101001010011101000…
…0000000100101100111001
31200100002001122010011110200
42322110322000010230321
53134241121233412121
643122111204232413
72461035522251205
oct272247200045471
950302048104420
1012804270607161
114097295a50a00
12152967839b709
1371b58c366c37
14323a311b9b05
151731060dca26
hexba53a004b39

12804270607161 has 36 divisors (see below), whose sum is σ = 20398661836644. Its totient is φ = 7733678610240.

The previous prime is 12804270607153. The next prime is 12804270607211. The reversal of 12804270607161 is 16170607240821.

12804270607161 is a `hidden beast` number, since 1 + 2 + 8 + 0 + 4 + 27 + 0 + 607 + 16 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8814040634025 + 3990229973136 = 2968845^2 + 1997556^2 .

It is not a de Polignac number, because 12804270607161 - 23 = 12804270607153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12804270607151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19745470 + ... + 20383623.

Almost surely, 212804270607161 is an apocalyptic number.

12804270607161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12804270607161 is a deficient number, since it is larger than the sum of its proper divisors (7594391229483).

12804270607161 is a wasteful number, since it uses less digits than its factorization.

12804270607161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40129414 (or 40129400 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

Adding to 12804270607161 its reverse (16170607240821), we get a palindrome (28974877847982).

It can be divided in two parts, 12804270 and 607161, that added together give a palindrome (13411431).

The spelling of 12804270607161 in words is "twelve trillion, eight hundred four billion, two hundred seventy million, six hundred seven thousand, one hundred sixty-one".

Divisors: 1 3 9 11 33 99 121 293 363 879 1089 2637 3223 9669 29007 35453 106359 319077 40129093 120387279 361161837 441420023 1324260069 3972780207 4855620253 11757824249 14566860759 35273472747 43700582277 105820418241 129336066739 388008200217 1164024600651 1422696734129 4268090202387 12804270607161