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199831420920 = 233547101350803
BaseRepresentation
bin1011101000011011100…
…0010111111111111000
3201002210121001222110210
42322012320113333320
511233223320432140
6231445024511120
720303003023545
oct2720670277770
9632717058423
10199831420920
117782569a24a
123288b17b4a0
1315ac8416841
14995995bbcc
1552e8774d80
hex2e86e17ff8

199831420920 has 128 divisors (see below), whose sum is σ = 618313098240. Its totient is φ = 51638054400.

The previous prime is 199831420889. The next prime is 199831420951. The reversal of 199831420920 is 29024138991.

199831420920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (199831420889) and next prime (199831420951).

It is a self number, because there is not a number n which added to its sum of digits gives 199831420920.

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 31 ways as a sum of consecutive naturals, for example, 394239 + ... + 745041.

It is an arithmetic number, because the mean of its divisors is an integer number (4830571080).

Almost surely, 2199831420920 is an apocalyptic number.

199831420920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199831420920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309156549120).

199831420920 is an abundant number, since it is smaller than the sum of its proper divisors (418481677320).

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

199831420920 is a wasteful number, since it uses less digits than its factorization.

199831420920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350965 (or 350961 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The spelling of 199831420920 in words is "one hundred ninety-nine billion, eight hundred thirty-one million, four hundred twenty thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 101 120 141 188 202 235 282 303 376 404 470 505 564 606 705 808 940 1010 1128 1212 1410 1515 1880 2020 2424 2820 3030 4040 4747 5640 6060 9494 12120 14241 18988 23735 28482 37976 47470 56964 71205 94940 113928 142410 189880 284820 350803 569640 701606 1052409 1403212 1754015 2104818 2806424 3508030 4209636 5262045 7016060 8419272 10524090 14032120 16487741 21048180 32975482 35431103 42096360 49463223 65950964 70862206 82438705 98926446 106293309 131901928 141724412 164877410 177155515 197852892 212586618 247316115 283448824 329754820 354311030 395705784 425173236 494632230 531466545 659509640 708622060 850346472 989264460 1062933090 1417244120 1665261841 1978528920 2125866180 3330523682 4251732360 4995785523 6661047364 8326309205 9991571046 13322094728 16652618410 19983142092 24978927615 33305236820 39966284184 49957855230 66610473640 99915710460 199831420920