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12190714497 = 32137310131409
BaseRepresentation
bin10110101101001111…
…11000101010000001
31011110120222110110100
423112213320222001
5144431310330442
65333401153013
7611045235453
oct132647705201
934416873410
1012190714497
115196382265
12244278b769
1311c381a540
148390a42d3
154b539384c
hex2d69f8a81

12190714497 has 48 divisors (see below), whose sum is σ = 19255738320. Its totient is φ = 7386660864.

The previous prime is 12190714483. The next prime is 12190714511. The reversal of 12190714497 is 79441709121.

12190714497 is a `hidden beast` number, since 1 + 2 + 1 + 90 + 71 + 4 + 497 = 666.

12190714497 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12190714483) and next prime (12190714511).

It can be written as a sum of positive squares in 8 ways, for example, as 7097894001 + 5092820496 = 84249^2 + 71364^2 .

It is not a de Polignac number, because 12190714497 - 216 = 12190648961 is a prime.

It is a super-2 number, since 2×121907144972 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12190714457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8651329 + ... + 8652737.

It is an arithmetic number, because the mean of its divisors is an integer number (401161215).

Almost surely, 212190714497 is an apocalyptic number.

It is an amenable number.

12190714497 is a deficient number, since it is larger than the sum of its proper divisors (7065023823).

12190714497 is a wasteful number, since it uses less digits than its factorization.

12190714497 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2514 (or 2511 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 12190714497 in words is "twelve billion, one hundred ninety million, seven hundred fourteen thousand, four hundred ninety-seven".

Divisors: 1 3 9 13 39 73 117 219 657 949 1013 1409 2847 3039 4227 8541 9117 12681 13169 18317 39507 54951 73949 102857 118521 164853 221847 308571 665541 925713 961337 1337141 1427317 2884011 4011423 4281951 8652033 12034269 12845853 18555121 55665363 104194141 166996089 312582423 937747269 1354523833 4063571499 12190714497