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23585082817 is a prime number
BaseRepresentation
bin10101111101110001…
…111100110111000001
32020212200111100022211
4111331301330313001
5341300240122232
614500154102121
71463313616252
oct257561746701
966780440284
1023585082817
11a00318988a
1246a271a941
1322bb36400a
1411da4b0b29
15930882a47
hex57dc7cdc1

23585082817 has 2 divisors, whose sum is σ = 23585082818. Its totient is φ = 23585082816.

The previous prime is 23585082803. The next prime is 23585082919. The reversal of 23585082817 is 71828058532.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13450432576 + 10134650241 = 115976^2 + 100671^2 .

It is a cyclic number.

It is not a de Polignac number, because 23585082817 - 211 = 23585080769 is a prime.

It is a super-2 number, since 2×235850828172 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (23585082217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11792541408 + 11792541409.

It is an arithmetic number, because the mean of its divisors is an integer number (11792541409).

Almost surely, 223585082817 is an apocalyptic number.

It is an amenable number.

23585082817 is a deficient number, since it is larger than the sum of its proper divisors (1).

23585082817 is an equidigital number, since it uses as much as digits as its factorization.

23585082817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1075200, while the sum is 49.

The spelling of 23585082817 in words is "twenty-three billion, five hundred eighty-five million, eighty-two thousand, eight hundred seventeen".