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2002782074593 is a prime number
BaseRepresentation
bin11101001001001111000…
…111010011011011100001
321002110112022210212211211
4131021033013103123201
5230303144202341333
64132022042310121
7264460543514506
oct35111707233341
97073468725754
102002782074593
117024142a5693
1228419b7b8341
13116b27a56561
146cd141694ad
153716c375ecd
hex1d24f1d36e1

2002782074593 has 2 divisors, whose sum is σ = 2002782074594. Its totient is φ = 2002782074592.

The previous prime is 2002782074567. The next prime is 2002782074597. The reversal of 2002782074593 is 3954702872002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2001820330449 + 961744144 = 1414857^2 + 31012^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002782074593 - 221 = 2002779977441 is a prime.

It is a super-2 number, since 2×20027820745932 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2002782074597) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001391037296 + 1001391037297.

It is an arithmetic number, because the mean of its divisors is an integer number (1001391037297).

Almost surely, 22002782074593 is an apocalyptic number.

It is an amenable number.

2002782074593 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002782074593 is an equidigital number, since it uses as much as digits as its factorization.

2002782074593 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1693440, while the sum is 49.

The spelling of 2002782074593 in words is "two trillion, two billion, seven hundred eighty-two million, seventy-four thousand, five hundred ninety-three".