Search a number
-
+
13598996886912 = 273475211446239
BaseRepresentation
bin1100010111100100001101…
…1000001111010110000000
31210011001101110211011022010
43011321003120033112000
53240301221200340122
644531143134412520
72602331551211433
oct305710330172600
953131343734263
1013598996886912
114373336243608
1216376b0661140
137784c2858788
143502a2d8b81a
15188b1b40ae0c
hexc5e4360f580

13598996886912 has 128 divisors (see below), whose sum is σ = 36961729228800. Its totient is φ = 4428033658880.

The previous prime is 13598996886847. The next prime is 13598996886913. The reversal of 13598996886912 is 21968869989531.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13598996886913) 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 15 ways as a sum of consecutive naturals, for example, 8679889 + ... + 10126127.

It is an arithmetic number, because the mean of its divisors is an integer number (288763509600).

Almost surely, 213598996886912 is an apocalyptic number.

13598996886912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13598996886912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18480864614400).

13598996886912 is an abundant number, since it is smaller than the sum of its proper divisors (23362732341888).

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

13598996886912 is a wasteful number, since it uses less digits than its factorization.

13598996886912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446824 (or 1446812 counting only the distinct ones).

The product of its digits is 3627970560, while the sum is 84.

The spelling of 13598996886912 in words is "thirteen trillion, five hundred ninety-eight billion, nine hundred ninety-six million, eight hundred eighty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 282 376 384 521 564 752 1042 1128 1504 1563 2084 2256 3008 3126 4168 4512 6016 6252 8336 9024 12504 16672 18048 24487 25008 33344 48974 50016 66688 73461 97948 100032 146922 195896 200064 293844 391792 587688 783584 1175376 1446239 1567168 2350752 2892478 3134336 4338717 4701504 5784956 8677434 9403008 11569912 17354868 23139824 34709736 46279648 67973233 69419472 92559296 135946466 138838944 185118592 203919699 271892932 277677888 407839398 543785864 555355776 753490519 815678796 1087571728 1506981038 1631357592 2175143456 2260471557 3013962076 3262715184 4350286912 4520943114 6027924152 6525430368 8700573824 9041886228 12055848304 13050860736 18083772456 24111696608 26101721472 35414054393 36167544912 48223393216 70828108786 72335089824 96446786432 106242163179 141656217572 144670179648 212484326358 283312435144 289340359296 424968652716 566624870288 849937305432 1133249740576 1699874610864 2266499481152 3399749221728 4532998962304 6799498443456 13598996886912