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128843105814 = 23343161934273
BaseRepresentation
bin111011111111110100…
…1011100011000010110
3110022120022000221011000
41313333221130120112
54102332313341224
6135104550524130
712210565221003
oct1677751343026
9408508027130
10128843105814
114a707635435
1220b79366646
13c1c42c3767
14634399a8aa
1535414e00c9
hex1dffa5c616

128843105814 has 64 divisors (see below), whose sum is σ = 293166086400. Its totient is φ = 41921784576.

The previous prime is 128843105759. The next prime is 128843105821. The reversal of 128843105814 is 418501348821.

128843105814 is a `hidden beast` number, since 1 + 28 + 8 + 43 + 1 + 0 + 581 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 128843105814.

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 31 ways as a sum of consecutive naturals, for example, 3742182 + ... + 3776454.

It is an arithmetic number, because the mean of its divisors is an integer number (4580720100).

Almost surely, 2128843105814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128843105814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146583043200).

128843105814 is an abundant number, since it is smaller than the sum of its proper divisors (164322980586).

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

128843105814 is a wasteful number, since it uses less digits than its factorization.

128843105814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35946 (or 35940 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 128843105814 in words is "one hundred twenty-eight billion, eight hundred forty-three million, one hundred five thousand, eight hundred fourteen".

Divisors: 1 2 3 6 9 18 27 43 54 86 129 258 387 774 1161 1619 2322 3238 4857 9714 14571 29142 34273 43713 68546 69617 87426 102819 139234 205638 208851 308457 417702 616914 626553 925371 1253106 1473739 1850742 1879659 2947478 3759318 4421217 8842434 13263651 26527302 39790953 55487987 79581906 110975974 166463961 332927922 499391883 998783766 1498175649 2385983441 2996351298 4771966882 7157950323 14315900646 21473850969 42947701938 64421552907 128843105814