Search a number
-
+
234563331663 = 32172979669181
BaseRepresentation
bin1101101001110100010…
…0000110011001001111
3211102110010021212002100
43122131010012121033
512320341203103123
6255431254130143
722642461264543
oct3323504063117
9742403255070
10234563331663
1190528981911
1239562950953
1319171c3330b
14b4d25dda23
15617c9eb643
hex369d10664f

234563331663 has 48 divisors (see below), whose sum is σ = 375812611200. Its totient is φ = 140302955520.

The previous prime is 234563331661. The next prime is 234563331701. The reversal of 234563331663 is 366133365432.

234563331663 is a `hidden beast` number, since 2 + 3 + 4 + 5 + 633 + 3 + 1 + 6 + 6 + 3 = 666.

234563331663 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 234563331663 - 21 = 234563331661 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234563331661) 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 47 ways as a sum of consecutive naturals, for example, 15933 + ... + 685113.

It is an arithmetic number, because the mean of its divisors is an integer number (7829429400).

Almost surely, 2234563331663 is an apocalyptic number.

234563331663 is a deficient number, since it is larger than the sum of its proper divisors (141249279537).

234563331663 is a wasteful number, since it uses less digits than its factorization.

234563331663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669312 (or 669309 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 45.

The spelling of 234563331663 in words is "two hundred thirty-four billion, five hundred sixty-three million, three hundred thirty-one thousand, six hundred sixty-three".

Divisors: 1 3 9 17 29 51 79 87 153 237 261 493 711 1343 1479 2291 4029 4437 6873 12087 20619 38947 116841 350523 669181 2007543 6022629 11376077 19406249 34128231 52865299 58218747 102384693 158595897 174656241 329906233 475787691 898710083 989718699 1533093671 2696130249 2969156097 4599281013 8088390747 13797843039 26062592407 78187777221 234563331663