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10332033240032 = 257322114320133
BaseRepresentation
bin1001011001011001110100…
…1010111100101111100000
31100120201210011100110220222
42112112131022330233200
52323240001002140112
633550245345422212
72114315262332210
oct226263512745740
940521704313828
1010332033240032
113323877454709
1211aa50103a968
1359c3ca66421a
1427a104748240
1512db5e9a7372
hex9659d2bcbe0

10332033240032 has 48 divisors (see below), whose sum is σ = 23254293760992. Its totient is φ = 4426639203840.

The previous prime is 10332033239993. The next prime is 10332033240131. The reversal of 10332033240032 is 23004233023301.

It is a super-2 number, since 2×103320332400322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10332033239983 and 10332033240010.

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 7 ways as a sum of consecutive naturals, for example, 6438563 + ... + 7881570.

It is an arithmetic number, because the mean of its divisors is an integer number (484464453354).

Almost surely, 210332033240032 is an apocalyptic number.

It is an amenable number.

10332033240032 is an abundant number, since it is smaller than the sum of its proper divisors (12922260520960).

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

10332033240032 is a wasteful number, since it uses less digits than its factorization.

10332033240032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14323371 (or 14323363 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 26.

Adding to 10332033240032 its reverse (23004233023301), we get a palindrome (33336266263333).

The spelling of 10332033240032 in words is "ten trillion, three hundred thirty-two billion, thirty-three million, two hundred forty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 3221 6442 12884 22547 25768 45094 51536 90188 103072 180376 360752 721504 14320133 28640266 57280532 100240931 114561064 200481862 229122128 400963724 458244256 801927448 1603854896 3207709792 46125148393 92250296786 184500593572 322876038751 369001187144 645752077502 738002374288 1291504155004 1476004748576 2583008310008 5166016620016 10332033240032