Search a number
-
+
7106995809 = 34172192292
BaseRepresentation
bin1101001111001110…
…00010011001100001
3200100022001210110000
412213213002121201
5104023342331214
63133115330213
7341055316254
oct64747023141
920308053400
107106995809
113017794161
121464150969
13893528a84
144b5c4d09b
152b8e01809
hex1a79c2661

7106995809 has 135 divisors (see below), whose sum is σ = 12327269097. Its totient is φ = 4078916352.

The previous prime is 7106995807. The next prime is 7106995813. The reversal of 7106995809 is 9085996017.

The square root of 7106995809 is 84303.

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

It can be written as a sum of positive squares in 4 ways, for example, as 702515025 + 6404480784 = 26505^2 + 80028^2 .

It is not a de Polignac number, because 7106995809 - 21 = 7106995807 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7106995807) 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, 245068807 + ... + 245068835.

Almost surely, 27106995809 is an apocalyptic number.

7106995809 is the 84303-rd square number.

7106995809 is the 42152-nd centered octagonal number.

It is an amenable number.

7106995809 is a deficient number, since it is larger than the sum of its proper divisors (5220273288).

7106995809 is a wasteful number, since it uses less digits than its factorization.

7106995809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The cubic root of 7106995809 is about 1922.6283997005.

The spelling of 7106995809 in words is "seven billion, one hundred six million, nine hundred ninety-five thousand, eight hundred nine".

Divisors: 1 3 9 17 19 27 29 51 57 81 87 153 171 261 289 323 361 459 493 513 551 783 841 867 969 1083 1377 1479 1539 1653 2349 2523 2601 2907 3249 4437 4959 5491 6137 7569 7803 8381 8721 9367 9747 10469 13311 14297 14877 15979 16473 18411 22707 23409 25143 26163 28101 29241 31407 39933 42891 44631 47937 49419 55233 68121 75429 84303 94221 104329 128673 143811 148257 159239 165699 177973 226287 243049 252909 271643 282663 303601 312987 386019 431433 444771 477717 497097 533919 678861 729147 758727 814929 847989 910803 938961 1158057 1294299 1433151 1601757 2187441 2444787 2732409 2816883 3025541 4299453 4617931 4805271 5161217 6562323 7334361 8197227 8450649 9076623 12898359 13853793 14415813 15483651 19686969 22003083 24591681 27229869 41561379 46450953 81689607 87740689 124684137 139352859 245068821 263222067 374052411 418058577 789666201 2368998603 7106995809