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12685024173720 = 23352919331885733
BaseRepresentation
bin1011100010010111011001…
…0111000001111010011000
31122220200021010220200221210
42320211312113001322120
53130312412142024340
642551230351303120
72446314503300643
oct270456627017230
948820233820853
1012685024173720
1140507634a2568
12150a538b1aaa0
13710267325852
1431bd5bd92a5a
1516ee7738b180
hexb89765c1e98

12685024173720 has 128 divisors (see below), whose sum is σ = 39387703204800. Its totient is φ = 3264337864704.

The previous prime is 12685024173713. The next prime is 12685024173721. The reversal of 12685024173720 is 2737142058621.

It is a happy number.

12685024173720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12685024173720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12685024173721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5783974 + ... + 7669706.

Almost surely, 212685024173720 is an apocalyptic number.

12685024173720 is a gapful number since it is divisible by the number (10) 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 12685024173720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19693851602400).

12685024173720 is an abundant number, since it is smaller than the sum of its proper divisors (26702679031080).

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

12685024173720 is a wasteful number, since it uses less digits than its factorization.

12685024173720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1887709 (or 1887705 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 12685024173720 in words is "twelve trillion, six hundred eighty-five billion, twenty-four million, one hundred seventy-three thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 1933 3480 3866 5799 7732 9665 11598 15464 19330 23196 28995 38660 46392 56057 57990 77320 112114 115980 168171 224228 231960 280285 336342 448456 560570 672684 840855 1121140 1345368 1681710 1885733 2242280 3363420 3771466 5657199 6726840 7542932 9428665 11314398 15085864 18857330 22628796 28285995 37714660 45257592 54686257 56571990 75429320 109372514 113143980 164058771 218745028 226287960 273431285 328117542 437490056 546862570 656235084 820293855 1093725140 1312470168 1640587710 2187450280 3281175420 3645121889 6562350840 7290243778 10935365667 14580487556 18225609445 21870731334 29160975112 36451218890 43741462668 54676828335 72902437780 87482925336 105708534781 109353656670 145804875560 211417069562 218707313340 317125604343 422834139124 437414626680 528542673905 634251208686 845668278248 1057085347810 1268502417372 1585628021715 2114170695620 2537004834744 3171256043430 4228341391240 6342512086860 12685024173720