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1984814756153 is a prime number
BaseRepresentation
bin11100111000100000001…
…011011011000100111001
321000202011011010112111022
4130320200023123010321
5230004400034144103
64115451124312225
7263253363030065
oct34704013330471
97022134115438
101984814756153
116a5834205389
12280806542675
13115223529698
146c0cbc08aa5
1536969cc6138
hex1ce202db139

1984814756153 has 2 divisors, whose sum is σ = 1984814756154. Its totient is φ = 1984814756152.

The previous prime is 1984814756107. The next prime is 1984814756191. The reversal of 1984814756153 is 3516574184891.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1079028570169 + 905786185984 = 1038763^2 + 951728^2 .

It is a cyclic number.

It is not a de Polignac number, because 1984814756153 - 210 = 1984814755129 is a prime.

It is not a weakly prime, because it can be changed into another prime (1984814756453) 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, 992407378076 + 992407378077.

It is an arithmetic number, because the mean of its divisors is an integer number (992407378077).

Almost surely, 21984814756153 is an apocalyptic number.

It is an amenable number.

1984814756153 is a deficient number, since it is larger than the sum of its proper divisors (1).

1984814756153 is an equidigital number, since it uses as much as digits as its factorization.

1984814756153 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 29030400, while the sum is 62.

The spelling of 1984814756153 in words is "one trillion, nine hundred eighty-four billion, eight hundred fourteen million, seven hundred fifty-six thousand, one hundred fifty-three".