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12699589440 = 263521436173
BaseRepresentation
bin10111101001111010…
…00101101101000000
31012210001111222122110
423310331011231000
5202002043330230
65500100135320
7626464505046
oct136475055500
935701458573
1012699589440
11542765056a
122565097540
13127508c085
148868ca396
154e4db14b0
hex2f4f45b40

12699589440 has 112 divisors (see below), whose sum is σ = 40346546688. Its totient is φ = 3384428544.

The previous prime is 12699589429. The next prime is 12699589471. The reversal of 12699589440 is 4498599621.

12699589440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×126995894402 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2054194 + ... + 2060366.

It is an arithmetic number, because the mean of its divisors is an integer number (360237024).

Almost surely, 212699589440 is an apocalyptic number.

12699589440 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 12699589440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20173273344).

12699589440 is an abundant number, since it is smaller than the sum of its proper divisors (27646957248).

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

12699589440 is a wasteful number, since it uses less digits than its factorization.

12699589440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8336 (or 8326 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 57.

The spelling of 12699589440 in words is "twelve billion, six hundred ninety-nine million, five hundred eighty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 2143 4286 6173 6429 8572 10715 12346 12858 17144 18519 21430 24692 25716 30865 32145 34288 37038 42860 49384 51432 61730 64290 68576 74076 85720 92595 98768 102864 123460 128580 137152 148152 171440 185190 197536 205728 246920 257160 296304 342880 370380 395072 411456 493840 514320 592608 685760 740760 987680 1028640 1185216 1481520 1975360 2057280 2963040 5926080 13228739 26457478 39686217 52914956 66143695 79372434 105829912 132287390 158744868 198431085 211659824 264574780 317489736 396862170 423319648 529149560 634979472 793724340 846639296 1058299120 1269958944 1587448680 2116598240 2539917888 3174897360 4233196480 6349794720 12699589440