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199143800856 = 2333711213313773
BaseRepresentation
bin1011100101110111100…
…1010100000000011000
3201001000200012021002000
42321131321110000120
511230321303111411
6231252502441000
720246653243410
oct2713571240030
9631020167060
10199143800856
1177502536100
1232718a33160
1315a18b20370
1498d24c7640
1552a81ea956
hex2e5de54018

199143800856 has 1536 divisors, whose sum is σ = 804240998400. Its totient is φ = 44341862400.

The previous prime is 199143800851. The next prime is 199143800861. The reversal of 199143800856 is 658008341991.

It is an interprime number because it is at equal distance from previous prime (199143800851) and next prime (199143800861).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199143800851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2727997236 + ... + 2727997308.

It is an arithmetic number, because the mean of its divisors is an integer number (523594400).

Almost surely, 2199143800856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199143800856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402120499200).

199143800856 is an abundant number, since it is smaller than the sum of its proper divisors (605097197544).

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

199143800856 is a wasteful number, since it uses less digits than its factorization.

199143800856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

It can be divided in two parts, 199143 and 800856, that added together give a palindrome (999999).

The spelling of 199143800856 in words is "one hundred ninety-nine billion, one hundred forty-three million, eight hundred thousand, eight hundred fifty-six".