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17921000441 is a prime number
BaseRepresentation
bin10000101100001011…
…001100001111111001
31201020221112011000002
4100230023030033321
5243200234003231
612122141122345
71203045663461
oct205413141771
951227464002
1017921000441
117666a34973
1235818593b5
1318c7a60696
14c20144ba1
156ed4a10cb
hex42c2cc3f9

17921000441 has 2 divisors, whose sum is σ = 17921000442. Its totient is φ = 17921000440.

The previous prime is 17921000429. The next prime is 17921000467. The reversal of 17921000441 is 14400012971.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17381785600 + 539214841 = 131840^2 + 23221^2 .

It is a cyclic number.

It is not a de Polignac number, because 17921000441 - 210 = 17920999417 is a prime.

It is not a weakly prime, because it can be changed into another prime (17921000401) 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, 8960500220 + 8960500221.

It is an arithmetic number, because the mean of its divisors is an integer number (8960500221).

Almost surely, 217921000441 is an apocalyptic number.

It is an amenable number.

17921000441 is a deficient number, since it is larger than the sum of its proper divisors (1).

17921000441 is an equidigital number, since it uses as much as digits as its factorization.

17921000441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016, while the sum is 29.

The spelling of 17921000441 in words is "seventeen billion, nine hundred twenty-one million, four hundred forty-one", and thus it is an aban number.