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5630856319800 = 2332523128253511
BaseRepresentation
bin101000111110000100100…
…1100001101001100111000
3201221022020001120122012200
41101330021030031030320
51214223443204213200
615550440224510200
71120546604001165
oct121741114151470
921838201518180
105630856319800
11188103a6618a8
1276b36a47b360
1331acab62856a
1415676baa106c
159b711467800
hex51f0930d338

5630856319800 has 72 divisors (see below), whose sum is σ = 18910292480040. Its totient is φ = 1501561684800.

The previous prime is 5630856319789. The next prime is 5630856319801. The reversal of 5630856319800 is 89136580365.

5630856319800 is a `hidden beast` number, since 5 + 63 + 0 + 8 + 563 + 19 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5630856319801) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 1564124956 + ... + 1564128555.

Almost surely, 25630856319800 is an apocalyptic number.

5630856319800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5630856319800 is an abundant number, since it is smaller than the sum of its proper divisors (13279436160240).

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

5630856319800 is a wasteful number, since it uses less digits than its factorization.

5630856319800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3128253533 (or 3128253521 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 5630856319800 in words is "five trillion, six hundred thirty billion, eight hundred fifty-six million, three hundred nineteen thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 3128253511 6256507022 9384760533 12513014044 15641267555 18769521066 25026028088 28154281599 31282535110 37539042132 46923802665 56308563198 62565070220 75078084264 78206337775 93847605330 112617126396 125130140440 140771407995 156412675550 187695210660 225234252792 234619013325 281542815990 312825351100 375390421320 469238026650 563085631980 625650702200 703857039975 938476053300 1126171263960 1407714079950 1876952106600 2815428159900 5630856319800