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7823706973 is a prime number
BaseRepresentation
bin1110100100101010…
…00100101101011101
3202012020200111022221
413102111010231131
5112010332110343
63332201105341
7364610261215
oct72225045535
922166614287
107823706973
113355307935
121624188251
13978b69614
145430d7245
1530bcc55ed
hex1d2544b5d

7823706973 has 2 divisors, whose sum is σ = 7823706974. Its totient is φ = 7823706972.

The previous prime is 7823706949. The next prime is 7823707027. The reversal of 7823706973 is 3796073287.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3936558564 + 3887148409 = 62742^2 + 62347^2 .

It is a cyclic number.

It is not a de Polignac number, because 7823706973 - 213 = 7823698781 is a prime.

It is a super-2 number, since 2×78237069732 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7823706973.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (7823706773) 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 as a sum of consecutive naturals, namely, 3911853486 + 3911853487.

It is an arithmetic number, because the mean of its divisors is an integer number (3911853487).

Almost surely, 27823706973 is an apocalyptic number.

It is an amenable number.

7823706973 is a deficient number, since it is larger than the sum of its proper divisors (1).

7823706973 is an equidigital number, since it uses as much as digits as its factorization.

7823706973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2667168, while the sum is 52.

The square root of 7823706973 is about 88451.7211421010. The cubic root of 7823706973 is about 1985.1996595459.

The spelling of 7823706973 in words is "seven billion, eight hundred twenty-three million, seven hundred six thousand, nine hundred seventy-three".