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7823408513 is a prime number
BaseRepresentation
bin1110100100100111…
…11011110110000001
3202012020010022220212
413102103323312001
5112010243033023
63332150443505
7364604606114
oct72223736601
922166108825
107823408513
113355123678
121624063595
13978a9380b
1454305a57b
1530bc66e78
hex1d24fbd81

7823408513 has 2 divisors, whose sum is σ = 7823408514. Its totient is φ = 7823408512.

The previous prime is 7823408477. The next prime is 7823408533. The reversal of 7823408513 is 3158043287.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7546918129 + 276490384 = 86873^2 + 16628^2 .

It is a cyclic number.

It is not a de Polignac number, because 7823408513 - 212 = 7823404417 is a prime.

It is a super-2 number, since 2×78234085132 (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (7823408533) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3911704256 + 3911704257.

It is an arithmetic number, because the mean of its divisors is an integer number (3911704257).

Almost surely, 27823408513 is an apocalyptic number.

It is an amenable number.

7823408513 is a deficient number, since it is larger than the sum of its proper divisors (1).

7823408513 is an equidigital number, since it uses as much as digits as its factorization.

7823408513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 161280, while the sum is 41.

The square root of 7823408513 is about 88450.0339909488. The cubic root of 7823408513 is about 1985.1744153223.

The spelling of 7823408513 in words is "seven billion, eight hundred twenty-three million, four hundred eight thousand, five hundred thirteen".