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28810626336 = 2532544318379
BaseRepresentation
bin11010110101001111…
…110100010100100000
32202100212021110102200
4122311033310110200
5433001010020321
621122503413200
72036645166102
oct326517642440
982325243380
1028810626336
1111244935a98
125700754200
132941b515bb
1415744c3572
15b394dbd26
hex6b53f4520

28810626336 has 72 divisors (see below), whose sum is σ = 81949729680. Its totient is φ = 9601255296.

The previous prime is 28810626329. The next prime is 28810626343. The reversal of 28810626336 is 63362601882.

It is a happy number.

28810626336 is a `hidden beast` number, since 2 + 8 + 8 + 1 + 0 + 6 + 2 + 633 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (28810626329) and next prime (28810626343).

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 28810626291 and 28810626300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1558395 + ... + 1576773.

It is an arithmetic number, because the mean of its divisors is an integer number (1138190690).

Almost surely, 228810626336 is an apocalyptic number.

It is an amenable number.

28810626336 is an abundant number, since it is smaller than the sum of its proper divisors (53139103344).

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

28810626336 is a wasteful number, since it uses less digits than its factorization.

28810626336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23838 (or 23827 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 28810626336 in words is "twenty-eight billion, eight hundred ten million, six hundred twenty-six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 5443 10886 16329 18379 21772 32658 36758 43544 48987 55137 65316 73516 87088 97974 110274 130632 147032 165411 174176 195948 220548 261264 294064 330822 391896 441096 522528 588128 661644 783792 882192 1323288 1567584 1764384 2646576 5293152 100036897 200073794 300110691 400147588 600221382 800295176 900332073 1200442764 1600590352 1800664146 2400885528 3201180704 3601328292 4801771056 7202656584 9603542112 14405313168 28810626336