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12894064896 = 28322773961
BaseRepresentation
bin11000000001000101…
…11101000100000000
31020021121110100211010
430000202331010000
5202401340034041
65531244320520
7634345512636
oct140042750400
936247410733
1012894064896
1155173aa889
1225ba243140
1312a64608cb
148a4671356
15506ec8a16
hex3008bd100

12894064896 has 72 divisors (see below), whose sum is σ = 34468658784. Its totient is φ = 4279029760.

The previous prime is 12894064873. The next prime is 12894064901. The reversal of 12894064896 is 69846049821.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137356 + ... + 211316.

It is an arithmetic number, because the mean of its divisors is an integer number (478731372).

Almost surely, 212894064896 is an apocalyptic number.

12894064896 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 12894064896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17234329392).

12894064896 is an abundant number, since it is smaller than the sum of its proper divisors (21574593888).

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

12894064896 is an equidigital number, since it uses as much as digits as its factorization.

12894064896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74207 (or 74193 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 57.

The spelling of 12894064896 in words is "twelve billion, eight hundred ninety-four million, sixty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 227 256 384 454 681 768 908 1362 1816 2724 3632 5448 7264 10896 14528 21792 29056 43584 58112 73961 87168 147922 174336 221883 295844 443766 591688 887532 1183376 1775064 2366752 3550128 4733504 7100256 9467008 14200512 16789147 18934016 28401024 33578294 50367441 56802048 67156588 100734882 134313176 201469764 268626352 402939528 537252704 805879056 1074505408 1611758112 2149010816 3223516224 4298021632 6447032448 12894064896