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13759242315 = 3571321722683
BaseRepresentation
bin11001101000001110…
…10110000001001011
31022111220102221010020
430310013112001023
5211134331223230
610153152151523
7664652426040
oct146407260113
938456387106
1013759242315
115920808445
1227bbb385a3
1313b3784200
149475251c7
15557e27810
hex3341d604b

13759242315 has 144 divisors (see below), whose sum is σ = 28951642368. Its totient is φ = 5462525952.

The previous prime is 13759242311. The next prime is 13759242317. The reversal of 13759242315 is 51324295731.

It is not a de Polignac number, because 13759242315 - 22 = 13759242311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13759242311) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5126964 + ... + 5129646.

It is an arithmetic number, because the mean of its divisors is an integer number (201053072).

Almost surely, 213759242315 is an apocalyptic number.

13759242315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13759242315 is an abundant number, since it is smaller than the sum of its proper divisors (15192400053).

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

13759242315 is a wasteful number, since it uses less digits than its factorization.

13759242315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2758 (or 2728 counting only the distinct ones).

The product of its digits is 226800, while the sum is 42.

The spelling of 13759242315 in words is "thirteen billion, seven hundred fifty-nine million, two hundred forty-two thousand, three hundred fifteen".

Divisors: 1 3 5 7 13 15 17 21 35 39 51 65 85 91 105 119 169 195 221 255 273 289 357 455 507 595 663 845 867 1105 1183 1365 1445 1547 1785 2023 2535 2683 2873 3315 3549 3757 4335 4641 5915 6069 7735 8049 8619 10115 11271 13415 14365 17745 18781 18785 20111 23205 26299 30345 34879 40245 43095 45611 48841 56343 56355 60333 78897 93905 100555 104637 131495 136833 146523 174395 228055 244153 244205 281715 301665 319277 341887 394485 453427 523185 592943 684165 732459 732615 775387 957831 1025661 1220765 1360281 1596385 1709435 1778829 2267135 2326161 2964715 3173989 3662295 3876935 4150601 4789155 5128305 5427709 6801405 7708259 8894145 9521967 10080031 11630805 12451803 15869945 16283127 20753005 23124777 27138545 30240093 38541295 47609835 50400155 53957813 62259015 70560217 81415635 115623885 131040403 151200465 161873439 211680651 269789065 352801085 393121209 655202015 809367195 917282821 1058403255 1965606045 2751848463 4586414105 13759242315