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5605683006 = 2372112959771
BaseRepresentation
bin1010011100001111…
…11110111100111110
3112110200002012110010
411032013332330332
542440023324011
62324125124050
7255625343100
oct51607767476
915420065403
105605683006
112417297680
1211053b9626
136b44970c1
143b26c7570
1522c1e81a6
hex14e1fef3e

5605683006 has 96 divisors (see below), whose sum is σ = 14718257280. Its totient is φ = 1405790400.

The previous prime is 5605682989. The next prime is 5605683011. The reversal of 5605683006 is 6003865065.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63901 + ... + 123671.

It is an arithmetic number, because the mean of its divisors is an integer number (153315180).

Almost surely, 25605683006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5605683006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7359128640).

5605683006 is an abundant number, since it is smaller than the sum of its proper divisors (9112574274).

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

5605683006 is a wasteful number, since it uses less digits than its factorization.

5605683006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59830 (or 59823 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 5605683006 is about 74871.1092878956. The cubic root of 5605683006 is about 1776.4085103676.

The spelling of 5605683006 in words is "five billion, six hundred five million, six hundred eighty-three thousand, six".

Divisors: 1 2 3 6 7 11 14 21 22 29 33 42 49 58 66 77 87 98 147 154 174 203 231 294 319 406 462 539 609 638 957 1078 1218 1421 1617 1914 2233 2842 3234 4263 4466 6699 8526 13398 15631 31262 46893 59771 93786 119542 179313 358626 418397 657481 836794 1255191 1314962 1733359 1972443 2510382 2928779 3466718 3944886 4602367 5200077 5857558 8786337 9204734 10400154 12133513 13807101 17572674 19066949 24267026 27614202 32216569 36400539 38133898 57200847 64433138 72801078 84934591 96649707 114401694 133468643 169869182 193299414 254803773 266937286 400405929 509607546 800811858 934280501 1868561002 2802841503 5605683006