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199717706385 = 32541729106357
BaseRepresentation
bin1011101000000000011…
…0100101101010010001
3201002111200002200110100
42322000012211222101
511233010213101020
6231425443323013
720300122331361
oct2720006455221
9632450080410
10199717706385
117777749089a
1232859080469
1315aaa9b0832
1499487da9a1
1552dd7b1a90
hex2e801a5a91

199717706385 has 24 divisors (see below), whose sum is σ = 346188908520. Its totient is φ = 106512556032.

The previous prime is 199717706291. The next prime is 199717706387. The reversal of 199717706385 is 583607717991.

It can be written as a sum of positive squares in 4 ways, for example, as 31533235776 + 168184470609 = 177576^2 + 410103^2 .

It is not a de Polignac number, because 199717706385 - 228 = 199449270929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (199717706387) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1824627 + ... + 1930983.

It is an arithmetic number, because the mean of its divisors is an integer number (14424537855).

Almost surely, 2199717706385 is an apocalyptic number.

199717706385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

199717706385 is a deficient number, since it is larger than the sum of its proper divisors (146471202135).

199717706385 is a wasteful number, since it uses less digits than its factorization.

199717706385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148097 (or 148094 counting only the distinct ones).

The product of its (nonzero) digits is 20003760, while the sum is 63.

The spelling of 199717706385 in words is "one hundred ninety-nine billion, seven hundred seventeen million, seven hundred six thousand, three hundred eighty-five".

Divisors: 1 3 5 9 15 45 41729 106357 125187 208645 319071 375561 531785 625935 957213 1595355 1877805 4786065 4438171253 13314513759 22190856265 39943541277 66572568795 199717706385