Search a number
-
+
299681838244701 = 32112433635542573
BaseRepresentation
bin100010000100011110001110…
…1100000111010001101011101
31110022002022012120110210112100
41010020330131200322031131
5303234441401042312301
62541211534053355313
7120060204215252463
oct10410743540721535
91408068176423470
10299681838244701
1187540398aaa700
1229740421338b39
13cb2ab509bc253
14540096d5dc833
15249a62b9e4286
hex1108f1d83a35d

299681838244701 has 36 divisors (see below), whose sum is σ = 476902249933564. Its totient is φ = 181205898128640.

The previous prime is 299681838244699. The next prime is 299681838244793. The reversal of 299681838244701 is 107442838186992.

It is a happy number.

299681838244701 is a `hidden beast` number, since 2 + 9 + 9 + 68 + 18 + 3 + 82 + 4 + 470 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 122118191504100 + 177563646740601 = 11050710^2 + 13325301^2 .

It is not a de Polignac number, because 299681838244701 - 21 = 299681838244699 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 299681838244701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (299681838244301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 317299750 + ... + 318242823.

Almost surely, 2299681838244701 is an apocalyptic number.

It is an amenable number.

299681838244701 is a deficient number, since it is larger than the sum of its proper divisors (177220411688863).

299681838244701 is a wasteful number, since it uses less digits than its factorization.

299681838244701 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635543034 (or 635543020 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 72.

The spelling of 299681838244701 in words is "two hundred ninety-nine trillion, six hundred eighty-one billion, eight hundred thirty-eight million, two hundred forty-four thousand, seven hundred one".

Divisors: 1 3 9 11 33 99 121 363 433 1089 1299 3897 4763 14289 42867 52393 157179 471537 635542573 1906627719 5719883157 6990968303 20972904909 62918714727 76900651333 230701953999 275189934109 692105861997 825569802327 2476709406981 3027089275199 9081267825597 27243803476791 33297982027189 99893946081567 299681838244701