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9939691242 = 23213733111871
BaseRepresentation
bin10010100000111001…
…11010011011101010
3221122201021122001200
421100130322123222
5130324030104432
64322150025030
7501212660445
oct112034723352
927581248050
109939691242
114240773168
121b14948176
13c25362b10
146a414465c
153d2948a7c
hex25073a6ea

9939691242 has 96 divisors (see below), whose sum is σ = 23598521856. Its totient is φ = 3005164800.

The previous prime is 9939691193. The next prime is 9939691243. The reversal of 9939691242 is 2421969399.

9939691242 is a `hidden beast` number, since 9 + 9 + 396 + 9 + 1 + 242 = 666.

9939691242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (9939691243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5311567 + ... + 5313437.

It is an arithmetic number, because the mean of its divisors is an integer number (245817936).

Almost surely, 29939691242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9939691242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11799260928).

9939691242 is an abundant number, since it is smaller than the sum of its proper divisors (13658830614).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9939691242 is a wasteful number, since it uses less digits than its factorization.

9939691242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2276 (or 2273 counting only the distinct ones).

The product of its digits is 1889568, while the sum is 54.

The square root of 9939691242 is about 99698.0001905755. Note that the first 3 decimals coincide. The cubic root of 9939691242 is about 2150.0949114041.

The spelling of 9939691242 in words is "nine billion, nine hundred thirty-nine million, six hundred ninety-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 73 78 117 146 219 234 311 438 622 657 933 949 1314 1866 1871 1898 2799 2847 3742 4043 5598 5613 5694 8086 8541 11226 12129 16839 17082 22703 24258 24323 33678 36387 45406 48646 68109 72774 72969 136218 136583 145938 204327 218907 273166 295139 408654 409749 437814 581881 590278 819498 885417 1163762 1229247 1745643 1770834 1775579 2458494 2656251 3491286 3551158 5236929 5312502 5326737 7564453 10473858 10653474 15128906 15980211 22693359 31960422 42477313 45386718 68080077 84954626 127431939 136160154 254863878 382295817 552205069 764591634 1104410138 1656615207 3313230414 4969845621 9939691242