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164961879281 is a prime number
BaseRepresentation
bin1001100110100001111…
…1101000010011110001
3120202210110212201202122
42121220133220103301
510200320220114111
6203441001324025
714626623560363
oct2315037502361
9522713781678
10164961879281
1163a61753541
1227b79496615
131272c23c174
147dac8d0d33
1544573b3cdb
hex26687e84f1

164961879281 has 2 divisors, whose sum is σ = 164961879282. Its totient is φ = 164961879280.

The previous prime is 164961879263. The next prime is 164961879319. The reversal of 164961879281 is 182978169461.

164961879281 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 151975225600 + 12986653681 = 389840^2 + 113959^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-164961879281 is a prime.

It is a super-2 number, since 2×1649618792812 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (164961879581) 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, 82480939640 + 82480939641.

It is an arithmetic number, because the mean of its divisors is an integer number (82480939641).

Almost surely, 2164961879281 is an apocalyptic number.

It is an amenable number.

164961879281 is a deficient number, since it is larger than the sum of its proper divisors (1).

164961879281 is an equidigital number, since it uses as much as digits as its factorization.

164961879281 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10450944, while the sum is 62.

The spelling of 164961879281 in words is "one hundred sixty-four billion, nine hundred sixty-one million, eight hundred seventy-nine thousand, two hundred eighty-one".