Search a number
-
+
199728873063 = 33172311137307
BaseRepresentation
bin1011101000000011000…
…1001011111001100111
3201002112110010000021000
42322000301023321213
511233021042414223
6231430522524343
720300316260316
oct2720061137147
9632473100230
10199728873063
1177782818555
12328609666b3
1315ab00c0435
14994a0a627d
1552de76a543
hex2e80c4be67

199728873063 has 96 divisors (see below), whose sum is σ = 327379691520. Its totient is φ = 120187791360.

The previous prime is 199728873053. The next prime is 199728873103. The reversal of 199728873063 is 360378827991.

199728873063 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 199728873063 - 26 = 199728872999 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199728873053) 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 95 ways as a sum of consecutive naturals, for example, 27330256 + ... + 27337562.

It is an arithmetic number, because the mean of its divisors is an integer number (3410205120).

Almost surely, 2199728873063 is an apocalyptic number.

199728873063 is a deficient number, since it is larger than the sum of its proper divisors (127650818457).

199728873063 is a wasteful number, since it uses less digits than its factorization.

199728873063 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7494 (or 7471 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 199728873063 in words is "one hundred ninety-nine billion, seven hundred twenty-eight million, eight hundred seventy-three thousand, sixty-three".

Divisors: 1 3 9 17 27 31 51 93 113 153 279 289 339 459 527 837 867 1017 1581 1921 2601 3051 3503 4743 5763 7307 7803 8959 10509 14229 17289 21921 26877 31527 32657 51867 59551 65763 80631 94581 97971 124219 178653 197289 226517 241893 293913 372657 535959 679551 825691 881739 1012367 1117971 1607877 2038653 2111723 2477073 3037101 3353913 3850789 6115959 6335169 7431219 9111303 11552367 14036747 19005507 22293657 25596421 27333909 34657101 42110241 57016521 65463413 76789263 103971303 126330723 196390239 230367789 238624699 378992169 435139157 589170717 691103367 715874097 1305417471 1767512151 2147622291 3916252413 6442866873 7397365669 11748757239 22192097007 66576291021 199728873063