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9992819067 = 3721137167023
BaseRepresentation
bin10010100111001111…
…00101000101111011
3221210102020210201220
421103213211011323
5130431130202232
64331324443123
7502426363200
oct112347450573
927712223656
109992819067
11426875a960
121b2a6a94a3
13c33374aba
146ab213ca7
153d744042c
hex2539e517b

9992819067 has 48 divisors (see below), whose sum is σ = 17365151232. Its totient is φ = 5050745280.

The previous prime is 9992819059. The next prime is 9992819071. The reversal of 9992819067 is 7609182999.

It is a happy number.

It is not a de Polignac number, because 9992819067 - 23 = 9992819059 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 9992819067.

It is not an unprimeable number, because it can be changed into a prime (9992819087) 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, 23683 + ... + 143340.

It is an arithmetic number, because the mean of its divisors is an integer number (361773984).

Almost surely, 29992819067 is an apocalyptic number.

9992819067 is a deficient number, since it is larger than the sum of its proper divisors (7372332165).

9992819067 is a wasteful number, since it uses less digits than its factorization.

9992819067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167088 (or 167081 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 60.

The square root of 9992819067 is about 99964.0888869598. The cubic root of 9992819067 is about 2153.9188715048.

The spelling of 9992819067 in words is "nine billion, nine hundred ninety-two million, eight hundred nineteen thousand, sixty-seven".

Divisors: 1 3 7 11 21 33 37 49 77 111 147 231 259 407 539 777 1221 1617 1813 2849 5439 8547 19943 59829 167023 501069 1169161 1837253 3507483 5511759 6179851 8184127 12860771 18539553 24552381 38582313 43258957 67978361 90025397 129776871 203935083 270076191 302812699 475848527 908438097 1427545581 3330939689 9992819067