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10024561249889 is a prime number
BaseRepresentation
bin1001000111100000011001…
…1010011000111001100001
31022111100010220120000122012
42101320012122120321201
52303220300134444024
633153115253522305
72053151654462654
oct221700632307141
938440126500565
1010024561249889
11321543553864a
12115a9b1343395
13579409803794
1426929710589b
15125b6634a50e
hex91e06698e61

10024561249889 has 2 divisors, whose sum is σ = 10024561249890. Its totient is φ = 10024561249888.

The previous prime is 10024561249877. The next prime is 10024561249933. The reversal of 10024561249889 is 98894216542001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7091675520400 + 2932885729489 = 2663020^2 + 1712567^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10024561249889 is a prime.

It is a super-2 number, since 2×100245612498892 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10024561249289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5012280624944 + 5012280624945.

It is an arithmetic number, because the mean of its divisors is an integer number (5012280624945).

Almost surely, 210024561249889 is an apocalyptic number.

It is an amenable number.

10024561249889 is a deficient number, since it is larger than the sum of its proper divisors (1).

10024561249889 is an equidigital number, since it uses as much as digits as its factorization.

10024561249889 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9953280, while the sum is 59.

The spelling of 10024561249889 in words is "ten trillion, twenty-four billion, five hundred sixty-one million, two hundred forty-nine thousand, eight hundred eighty-nine".