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23408617657 is a prime number
BaseRepresentation
bin10101110011010000…
…110010100010111001
32020102101102222122011
4111303100302202321
5340420101231112
614430451525521
71456041652465
oct256320624271
966371388564
1023408617657
119a22610a07
1246535b98a1
13229092a069
1411c0c974a5
15920126aa7
hex5734328b9

23408617657 has 2 divisors, whose sum is σ = 23408617658. Its totient is φ = 23408617656.

The previous prime is 23408617627. The next prime is 23408617679. The reversal of 23408617657 is 75671680432.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15100477456 + 8308140201 = 122884^2 + 91149^2 .

It is a cyclic number.

It is not a de Polignac number, because 23408617657 - 219 = 23408093369 is a prime.

It is a super-2 number, since 2×234086176572 (a number of 22 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 23408617657.

It is not a weakly prime, because it can be changed into another prime (23408617627) 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, 11704308828 + 11704308829.

It is an arithmetic number, because the mean of its divisors is an integer number (11704308829).

Almost surely, 223408617657 is an apocalyptic number.

It is an amenable number.

23408617657 is a deficient number, since it is larger than the sum of its proper divisors (1).

23408617657 is an equidigital number, since it uses as much as digits as its factorization.

23408617657 is an odious number, because the sum of its binary digits is odd.

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

The spelling of 23408617657 in words is "twenty-three billion, four hundred eight million, six hundred seventeen thousand, six hundred fifty-seven".