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981944000153 is a prime number
BaseRepresentation
bin11100100101000000110…
…11000101111010011001
310110212120100212121002222
432102200123011322121
5112042010131001103
62031033203433425
7130641326200034
oct16224033057231
93425510777088
10981944000153
11349492874a76
1213a383085875
137179b58bc6c
143575240001b
151a8214ea638
hexe4a06c5e99

981944000153 has 2 divisors, whose sum is σ = 981944000154. Its totient is φ = 981944000152.

The previous prime is 981944000119. The next prime is 981944000159. The reversal of 981944000153 is 351000449189.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 513797939209 + 468146060944 = 716797^2 + 684212^2 .

It is a cyclic number.

It is not a de Polignac number, because 981944000153 - 216 = 981943934617 is a prime.

It is not a weakly prime, because it can be changed into another prime (981944000159) 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, 490972000076 + 490972000077.

It is an arithmetic number, because the mean of its divisors is an integer number (490972000077).

Almost surely, 2981944000153 is an apocalyptic number.

It is an amenable number.

981944000153 is a deficient number, since it is larger than the sum of its proper divisors (1).

981944000153 is an equidigital number, since it uses as much as digits as its factorization.

981944000153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 155520, while the sum is 44.

The spelling of 981944000153 in words is "nine hundred eighty-one billion, nine hundred forty-four million, one hundred fifty-three", and thus it is an aban number.