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12398197257 = 3317314718539
BaseRepresentation
bin10111000101111110…
…10111101000001001
31012000001101200022000
423202333113220021
5200342414303012
65410132221213
7616144636455
oct134277275011
935001350260
1012398197257
115292506116
1224a016a809
1312277c46c4
14858873665
154c86c9ddc
hex2e2fd7a09

12398197257 has 64 divisors (see below), whose sum is σ = 20503756800. Its totient is φ = 7367742720.

The previous prime is 12398197249. The next prime is 12398197271. The reversal of 12398197257 is 75279189321.

It is a happy number.

12398197257 is a `hidden beast` number, since 12 + 398 + 197 + 2 + 57 = 666.

It is not a de Polignac number, because 12398197257 - 23 = 12398197249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12398197297) 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 63 ways as a sum of consecutive naturals, for example, 659494 + ... + 678032.

It is an arithmetic number, because the mean of its divisors is an integer number (320371200).

Almost surely, 212398197257 is an apocalyptic number.

12398197257 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

12398197257 is a deficient number, since it is larger than the sum of its proper divisors (8105559543).

12398197257 is a wasteful number, since it uses less digits than its factorization.

12398197257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18643 (or 18637 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 54.

The spelling of 12398197257 in words is "twelve billion, three hundred ninety-eight million, one hundred ninety-seven thousand, two hundred fifty-seven".

Divisors: 1 3 9 17 27 31 47 51 93 141 153 279 423 459 527 799 837 1269 1457 1581 2397 4371 4743 7191 13113 14229 18539 21573 24769 39339 55617 74307 166851 222921 315163 500553 574709 668763 871333 945489 1724127 2613999 2836467 5172381 7841997 8509401 9770053 14812661 15517143 23525991 27011323 29310159 44437983 81033969 87930477 133313949 243101907 263791431 399941847 459192491 729305721 1377577473 4132732419 12398197257