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12426536211440 = 24513172971236573
BaseRepresentation
bin1011010011010100011101…
…0001101101001111110000
31121222222001200012200112012
42310311013101231033300
53112044021232231230
642232401045222052
72421534103001321
oct264650721551760
947888050180465
1012426536211440
113a6107880665a
121488419a01928
136c1a818c4990
1430d63a176448
151683992da395
hexb4d4746d3f0

12426536211440 has 160 divisors (see below), whose sum is σ = 32955606081216. Its totient is φ = 4316890152960.

The previous prime is 12426536211437. The next prime is 12426536211449. The reversal of 12426536211440 is 4411263562421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12426536211449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52408994 + ... + 52645566.

Almost surely, 212426536211440 is an apocalyptic number.

12426536211440 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 12426536211440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16477803040608).

12426536211440 is an abundant number, since it is smaller than the sum of its proper divisors (20529069869776).

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

12426536211440 is a wasteful number, since it uses less digits than its factorization.

12426536211440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239587 (or 239581 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 41.

Adding to 12426536211440 its reverse (4411263562421), we get a palindrome (16837799773861).

The spelling of 12426536211440 in words is "twelve trillion, four hundred twenty-six billion, five hundred thirty-six million, two hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 34 40 52 65 68 80 85 104 130 136 170 208 221 260 272 340 442 520 680 884 1040 1105 1360 1768 2210 2971 3536 4420 5942 8840 11884 14855 17680 23768 29710 38623 47536 50507 59420 77246 101014 118840 154492 193115 202028 236573 237680 252535 308984 386230 404056 473146 505070 617968 656591 772460 808112 946292 1010140 1182865 1313182 1544920 1892584 2020280 2365730 2626364 3075449 3089840 3282955 3785168 4021741 4040560 4731460 5252728 6150898 6565910 8043482 9462920 10505456 12301796 13131820 15377245 16086964 18925840 20108705 24603592 26263640 30754490 32173928 40217410 49207184 52282633 52527280 61508980 64347856 80434820 104565266 123017960 160869640 209130532 246035920 261413165 321739280 418261064 522826330 702858383 836522128 1045652660 1405716766 2091305320 2811433532 3514291915 4182610640 5622867064 7028583830 9137158979 11245734128 11948592511 14057167660 18274317958 23897185022 28114335320 36548635916 45685794895 47794370044 56228670640 59742962555 73097271832 91371589790 95588740088 119485925110 146194543664 155331702643 182743179580 191177480176 238971850220 310663405286 365486359160 477943700440 621326810572 730972718320 776658513215 955887400880 1242653621144 1553317026430 2485307242288 3106634052860 6213268105720 12426536211440