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199007886609 = 3472732972
BaseRepresentation
bin1011100101010111001…
…0110101110100010001
3201000200012110002210000
42321111302311310101
511230032004332414
6231231205400213
720243413061100
oct2712562656421
9630605402700
10199007886609
1177442844784
123269b409069
13159c691392c
1498bc428037
15529b2eeb09
hex2e55cb5d11

199007886609 has 135 divisors (see below), whose sum is σ = 354273515937. Its totient is φ = 111004701696.

The previous prime is 199007886589. The next prime is 199007886611. The reversal of 199007886609 is 906688700991.

The square root of 199007886609 is 446103.

It is a perfect power (a square), and thus also a powerful number.

199007886609 is a `hidden beast` number, since 19 + 9 + 0 + 0 + 7 + 8 + 8 + 6 + 609 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 56205009 + 198951681600 = 7497^2 + 446040^2 .

It is not a de Polignac number, because 199007886609 - 25 = 199007886577 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (199007888609) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2051627649 + ... + 2051627745.

Almost surely, 2199007886609 is an apocalyptic number.

199007886609 is the 446103-rd square number.

199007886609 is the 223052-nd centered octagonal number.

It is an amenable number.

199007886609 is a deficient number, since it is larger than the sum of its proper divisors (155265629328).

199007886609 is an frugal number, since it uses more digits than its factorization.

199007886609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 63.

The spelling of 199007886609 in words is "one hundred ninety-nine billion, seven million, eight hundred eighty-six thousand, six hundred nine".

Divisors: 1 3 7 9 21 27 49 63 73 81 97 147 189 219 291 441 511 567 657 679 873 1323 1533 1971 2037 2619 3577 3969 4599 4753 5329 5913 6111 7081 7857 9409 10731 13797 14259 15987 18333 21243 28227 32193 37303 41391 42777 47961 49567 54999 63729 65863 84681 96579 111909 128331 143883 148701 191187 197589 254043 261121 289737 335727 346969 384993 431649 446103 461041 516913 573561 592767 686857 762129 783363 1007181 1040907 1338309 1383123 1550739 1778301 2060571 2350089 3021543 3122721 3618391 4014927 4149369 4652217 4807999 5334903 6181713 7050267 9368163 10855173 12448107 13956651 14423997 18545139 21150801 25328737 28104489 32565519 33655993 37344321 41869953 43271991 50140561 55635417 75986211 97696557 100967979 129815973 150421683 227958633 293089671 302903937 350983927 389447919 451265049 683875899 908711811 1052951781 1353795147 2051627697 2456887489 2726135433 3158855343 4061385441 7370662467 9476566029 22111987401 28429698087 66335962203 199007886609