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12829830183856 = 2471727972409137
BaseRepresentation
bin1011101010110010110101…
…1110000111101110110000
31200102112000220222012012101
42322230231132013232300
53140200443011340411
643141535334510144
72462632103131420
oct272545536075660
950375026865171
1012829830183856
1140a7111736204
121532610205354
13720b037b490a
14324d779c6480
15173aeee958c1
hexbab2d787bb0

12829830183856 has 80 divisors (see below), whose sum is σ = 30090788905536. Its totient is φ = 5173205188608.

The previous prime is 12829830183827. The next prime is 12829830183883. The reversal of 12829830183856 is 65838103892821.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4120920 + ... + 6530056.

Almost surely, 212829830183856 is an apocalyptic number.

12829830183856 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 12829830183856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15045394452768).

12829830183856 is an abundant number, since it is smaller than the sum of its proper divisors (17260958721680).

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

12829830183856 is a wasteful number, since it uses less digits than its factorization.

12829830183856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2411966 (or 2411960 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 64.

The spelling of 12829830183856 in words is "twelve trillion, eight hundred twenty-nine billion, eight hundred thirty million, one hundred eighty-three thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 476 952 1904 2797 5594 11188 19579 22376 39158 44752 47549 78316 95098 156632 190196 313264 332843 380392 665686 760784 1331372 2409137 2662744 4818274 5325488 9636548 16863959 19273096 33727918 38546192 40955329 67455836 81910658 134911672 163821316 269823344 286687303 327642632 573374606 655285264 1146749212 2293498424 4586996848 6738356189 13476712378 26953424756 47168493323 53906849512 94336986646 107813699024 114552055213 188673973292 229104110426 377347946584 458208220852 754695893168 801864386491 916416441704 1603728772982 1832832883408 3207457545964 6414915091928 12829830183856