Search a number
-
+
29997922688361 = 3331377912261311
BaseRepresentation
bin1101101001000011011111…
…00001101001110101101001
310221012202212210212101122000
412310201233201221311221
512412441221202011421
6143444504435121213
76214164326466105
oct664415741516551
9127182783771560
1029997922688361
11961605834a081
12344596b743209
131397a3ac66374
14759c9b528905
153704ac744226
hex1b486f869d69

29997922688361 has 64 divisors (see below), whose sum is σ = 47711217254400. Its totient is φ = 18592069579200.

The previous prime is 29997922688329. The next prime is 29997922688399. The reversal of 29997922688361 is 16388622979992.

29997922688361 is a `hidden beast` number, since 2 + 9 + 9 + 97 + 92 + 2 + 6 + 88 + 361 = 666.

It is not a de Polignac number, because 29997922688361 - 25 = 29997922688329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (29997922687361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3684105 + ... + 8577206.

It is an arithmetic number, because the mean of its divisors is an integer number (745487769600).

Almost surely, 229997922688361 is an apocalyptic number.

It is an amenable number.

29997922688361 is a deficient number, since it is larger than the sum of its proper divisors (17713294566039).

29997922688361 is a wasteful number, since it uses less digits than its factorization.

29997922688361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12261467 (or 12261461 counting only the distinct ones).

The product of its digits is 2539579392, while the sum is 81.

The spelling of 29997922688361 in words is "twenty-nine trillion, nine hundred ninety-seven billion, nine hundred twenty-two million, six hundred eighty-eight thousand, three hundred sixty-one".

Divisors: 1 3 9 27 31 37 79 93 111 237 279 333 711 837 999 1147 2133 2449 2923 3441 7347 8769 10323 22041 26307 30969 66123 78921 90613 271839 815517 2446551 12261311 36783933 110351799 331055397 380100641 453668507 968643569 1140301923 1361005521 2905930707 3420905769 4083016563 8717792121 10262717307 12249049689 14063723717 26153376363 30027950639 35839812053 42191171151 90083851917 107519436159 126573513453 270251555751 322558308477 379720540359 810754667253 967674925431 1111034173643 3333102520929 9999307562787 29997922688361