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13036204242256 = 24131132311239999
BaseRepresentation
bin1011110110110011101001…
…0100101011010101010000
31201011020201111011121000211
42331230322110223111100
53202041121241223011
643420425523053504
72513556202522156
oct275547224532520
951136644147024
1013036204242256
114176694494868
121566606511294
1373740252a480
14330d544473d6
1517917ccdeb21
hexbdb3a52b550

13036204242256 has 80 divisors (see below), whose sum is σ = 27453242880000. Its totient is φ = 5960859125760.

The previous prime is 13036204242209. The next prime is 13036204242301. The reversal of 13036204242256 is 65224240263031.

It is a super-2 number, since 2×130362042422562 (a number of 27 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 (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54197745 + ... + 54437743.

It is an arithmetic number, because the mean of its divisors is an integer number (343165536000).

Almost surely, 213036204242256 is an apocalyptic number.

13036204242256 is a gapful number since it is divisible by the number (16) 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 13036204242256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13726621440000).

13036204242256 is an abundant number, since it is smaller than the sum of its proper divisors (14417038637744).

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

13036204242256 is a wasteful number, since it uses less digits than its factorization.

13036204242256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242444 (or 242438 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 40.

The spelling of 13036204242256 in words is "thirteen trillion, thirty-six billion, two hundred four million, two hundred forty-two thousand, two hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 52 104 113 208 226 452 904 1469 1808 2311 2938 4622 5876 9244 11752 18488 23504 30043 36976 60086 120172 239999 240344 261143 479998 480688 522286 959996 1044572 1919992 2089144 3119987 3394859 3839984 4178288 6239974 6789718 12479948 13579436 24959896 27119887 27158872 49919792 54239774 54317744 108479548 216959096 352558531 433918192 554637689 705117062 1109275378 1410234124 2218550756 2820468248 4437101512 5640936496 7210289957 8874203024 14420579914 28841159828 57682319656 62674058857 115364639312 125348117714 250696235428 501392470856 814762765141 1002784941712 1629525530282 3259051060564 6518102121128 13036204242256