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533328801138 = 232719433951343
BaseRepresentation
bin1111100001011001101…
…11111010110101110010
31212222121121020020022200
413300230313322311302
532214224133114023
61045001411044030
753350246003650
oct7605467726562
91788547206280
10533328801138
11196202228051
12874428a0616
133b3a606a593
141bb557c3dd0
15dd16aed743
hex7c2cdfad72

533328801138 has 96 divisors (see below), whose sum is σ = 1390477670400. Its totient is φ = 144323594208.

The previous prime is 533328801121. The next prime is 533328801139. The reversal of 533328801138 is 831108823335.

533328801138 is a `hidden beast` number, since 5 + 333 + 288 + 0 + 1 + 1 + 38 = 666.

It is a super-2 number, since 2×5333288011382 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 533328801093 and 533328801102.

It is not an unprimeable number, because it can be changed into a prime (533328801139) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10361895 + ... + 10413237.

It is an arithmetic number, because the mean of its divisors is an integer number (14484142400).

Almost surely, 2533328801138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 533328801138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695238835200).

533328801138 is an abundant number, since it is smaller than the sum of its proper divisors (857148869262).

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

533328801138 is a wasteful number, since it uses less digits than its factorization.

533328801138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55716 (or 55713 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 533328801138 in words is "five hundred thirty-three billion, three hundred twenty-eight million, eight hundred one thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 266 342 399 798 1197 2394 4339 8678 13017 26034 30373 39051 51343 60746 78102 82441 91119 102686 154029 164882 182238 247323 273357 308058 359401 462087 494646 546714 577087 718802 741969 924174 975517 1078203 1154174 1483938 1731261 1951034 2156406 2926551 3234609 3462522 5193783 5853102 6469218 6828619 8779653 10387566 13657238 17559306 20485857 40971714 61457571 122915142 222777277 445554554 668331831 1336663662 1559440939 2004995493 3118881878 4009990986 4232768263 4678322817 8465536526 9356645634 12698304789 14034968451 25396609578 28069936902 29629377841 38094914367 59258755682 76189828734 88888133523 177776267046 266664400569 533328801138