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12982029096 = 2334130894271
BaseRepresentation
bin11000001011100101…
…00000101100101000
31020111201222102000110
430011302200230220
5203041344412341
65544105534320
7636464266221
oct140562405450
936451872013
1012982029096
115562020673
1226237a43a0
1312bb74c02a
148b220c248
1550eaa2216
hex305ca0b28

12982029096 has 64 divisors (see below), whose sum is σ = 33265209600. Its totient is φ = 4219443200.

The previous prime is 12982029083. The next prime is 12982029101. The reversal of 12982029096 is 69092028921.

It is a happy number.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3037441 + ... + 3041711.

It is an arithmetic number, because the mean of its divisors is an integer number (519768900).

Almost surely, 212982029096 is an apocalyptic number.

It is an amenable number.

12982029096 is an abundant number, since it is smaller than the sum of its proper divisors (20283180504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12982029096 is a wasteful number, since it uses less digits than its factorization.

12982029096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7410 (or 7406 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The spelling of 12982029096 in words is "twelve billion, nine hundred eighty-two million, twenty-nine thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 492 984 3089 4271 6178 8542 9267 12356 12813 17084 18534 24712 25626 34168 37068 51252 74136 102504 126649 175111 253298 350222 379947 506596 525333 700444 759894 1013192 1050666 1400888 1519788 2101332 3039576 4202664 13193119 26386238 39579357 52772476 79158714 105544952 158317428 316634856 540917879 1081835758 1622753637 2163671516 3245507274 4327343032 6491014548 12982029096