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13720316247 = 331123592577
BaseRepresentation
bin11001100011100101…
…10110100101010111
31022102012012021121000
430301302312211113
5211044400104442
610145241554343
7664000523001
oct146162664527
938365167530
1013720316247
115900840740
1227aaaa59b3
1313a86a5431
149422b1371
155547d8d4c
hex331cb6957

13720316247 has 96 divisors (see below), whose sum is σ = 23577960960. Its totient is φ = 7805445120.

The previous prime is 13720316243. The next prime is 13720316263. The reversal of 13720316247 is 74261302731.

13720316247 is a `hidden beast` number, since 1 + 3 + 7 + 20 + 3 + 1 + 624 + 7 = 666.

It is not a de Polignac number, because 13720316247 - 22 = 13720316243 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13720316243) 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 95 ways as a sum of consecutive naturals, for example, 23778423 + ... + 23778999.

It is an arithmetic number, because the mean of its divisors is an integer number (245603760).

Almost surely, 213720316247 is an apocalyptic number.

13720316247 is a deficient number, since it is larger than the sum of its proper divisors (9857644713).

13720316247 is a wasteful number, since it uses less digits than its factorization.

13720316247 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

Adding to 13720316247 its reverse (74261302731), we get a palindrome (87981618978).

The spelling of 13720316247 in words is "thirteen billion, seven hundred twenty million, three hundred sixteen thousand, two hundred forty-seven".

Divisors: 1 3 9 11 23 27 33 59 69 99 177 207 253 297 531 577 621 649 759 1357 1593 1731 1947 2277 3481 4071 5193 5841 6347 6831 10443 12213 13271 14927 15579 17523 19041 31329 34043 36639 38291 39813 44781 57123 80063 93987 102129 114873 119439 134343 145981 171369 240189 306387 344619 358317 374473 403029 437943 720567 782989 880693 919161 1033857 1123419 1313829 2008537 2161701 2348967 2642079 3370257 3941487 6025611 7046901 7926237 8612879 10110771 18076833 21140703 22093907 23778711 25838637 46196351 54230499 66281721 77515911 138589053 198845163 232547733 415767159 508159861 596535489 1247301477 1524479583 4573438749 13720316247