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268624293496529 is a prime number
BaseRepresentation
bin111101000100111111110111…
…100101111000011011010001
31022020010020020212202112010212
4331010333313211320123101
5240202120023113342104
62351152144040133505
7110403315260533145
oct7504776745703321
91266106225675125
10268624293496529
1178656a17726743
1226165230467295
13b6b7215419929
144a496b1479225
15210c80358d36e
hexf44ff79786d1

268624293496529 has 2 divisors, whose sum is σ = 268624293496530. Its totient is φ = 268624293496528.

The previous prime is 268624293496511. The next prime is 268624293496577. The reversal of 268624293496529 is 925694392426862.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 254629040410000 + 13995253086529 = 15957100^2 + 3741023^2 .

It is a cyclic number.

It is not a de Polignac number, because 268624293496529 - 236 = 268555574019793 is a prime.

It is a super-2 number, since 2×2686242934965292 (a number of 30 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 268624293496529.

It is not a weakly prime, because it can be changed into another prime (268624293496589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 134312146748264 + 134312146748265.

It is an arithmetic number, because the mean of its divisors is an integer number (134312146748265).

Almost surely, 2268624293496529 is an apocalyptic number.

It is an amenable number.

268624293496529 is a deficient number, since it is larger than the sum of its proper divisors (1).

268624293496529 is an equidigital number, since it uses as much as digits as its factorization.

268624293496529 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4837294080, while the sum is 77.

The spelling of 268624293496529 in words is "two hundred sixty-eight trillion, six hundred twenty-four billion, two hundred ninety-three million, four hundred ninety-six thousand, five hundred twenty-nine".