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28226088884808 = 2332392029012289
BaseRepresentation
bin1100110101011111001100…
…00000000101101001001000
310200221101110122222020222100
412122233212000011221020
512144424012223303213
6140010515231353400
75642160536606613
oct632574600055110
9120841418866870
1028226088884808
118aa26873607a1
1231ba4a4082860
13129992a1bbbb9
146d821580d17a
1533e35a830773
hex19abe6005a48

28226088884808 has 24 divisors (see below), whose sum is σ = 76445657396550. Its totient is φ = 9408696294912.

The previous prime is 28226088884759. The next prime is 28226088884813. The reversal of 28226088884808 is 80848888062282.

28226088884808 is a `hidden beast` number, since 2 + 8 + 2 + 2 + 60 + 8 + 8 + 88 + 480 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 27084093160644 + 1141995724164 = 5204238^2 + 1068642^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (72), and also a Moran number because the ratio is a prime number: 392029012289 = 28226088884808 / (2 + 8 + 2 + 2 + 6 + 0 + 8 + 8 + 8 + 8 + 4 + 8 + 0 + 8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 196014506073 + ... + 196014506216.

Almost surely, 228226088884808 is an apocalyptic number.

It is an amenable number.

28226088884808 is an abundant number, since it is smaller than the sum of its proper divisors (48219568511742).

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

28226088884808 is a wasteful number, since it uses less digits than its factorization.

28226088884808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392029012301 (or 392029012294 counting only the distinct ones).

The product of its (nonzero) digits is 402653184, while the sum is 72.

The spelling of 28226088884808 in words is "twenty-eight trillion, two hundred twenty-six billion, eighty-eight million, eight hundred eighty-four thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 392029012289 784058024578 1176087036867 1568116049156 2352174073734 3136232098312 3528261110601 4704348147468 7056522221202 9408696294936 14113044442404 28226088884808