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12687745840 = 2457114574507
BaseRepresentation
bin10111101000011111…
…11010001100110000
31012202020020021021121
423310033322030300
5201441030331330
65454554232024
7626262026440
oct136417721460
935666207247
1012687745840
1154209a1270
122561125614
1312727a3323
148850c6120
154e3d2217a
hex2f43fa330

12687745840 has 160 divisors (see below), whose sum is σ = 36866640384. Its totient is φ = 3945093120.

The previous prime is 12687745817. The next prime is 12687745841. The reversal of 12687745840 is 4854778621.

It is not an unprimeable number, because it can be changed into a prime (12687745841) 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, 2812867 + ... + 2817373.

Almost surely, 212687745840 is an apocalyptic number.

12687745840 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 12687745840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18433320192).

12687745840 is an abundant number, since it is smaller than the sum of its proper divisors (24178894544).

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

12687745840 is a wasteful number, since it uses less digits than its factorization.

12687745840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4995 (or 4989 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 52.

The spelling of 12687745840 in words is "twelve billion, six hundred eighty-seven million, seven hundred forty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 457 560 616 770 880 914 1232 1540 1828 2285 3080 3199 3656 4507 4570 5027 6160 6398 7312 9014 9140 10054 12796 15995 18028 18280 20108 22535 25135 25592 31549 31990 35189 36056 36560 40216 45070 49577 50270 51184 63098 63980 70378 72112 80432 90140 99154 100540 126196 127960 140756 157745 175945 180280 198308 201080 247885 252392 255920 281512 315490 347039 351890 360560 396616 402160 495770 504784 563024 630980 694078 703780 793232 991540 1261960 1388156 1407560 1735195 1983080 2059699 2523920 2776312 2815120 3470390 3966160 4119398 5552624 6940780 8238796 10298495 13881560 14417893 16477592 20596990 22656689 27763120 28835786 32955184 41193980 45313378 57671572 72089465 82387960 90626756 113283445 115343144 144178930 158596823 164775920 181253512 226566890 230686288 288357860 317193646 362507024 453133780 576715720 634387292 792984115 906267560 1153431440 1268774584 1585968230 1812535120 2537549168 3171936460 6343872920 12687745840