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166505436541 is a prime number
BaseRepresentation
bin1001101100010001111…
…1110101010101111101
3120220210001100120021001
42123010133311111331
510212000342432131
6204254101210301
715013105600333
oct2330437652575
9526701316231
10166505436541
1164683a839a4
122832a400991
1312916c72162
1480b78d1b53
1544e7b64261
hex26c47f557d

166505436541 has 2 divisors, whose sum is σ = 166505436542. Its totient is φ = 166505436540.

The previous prime is 166505436529. The next prime is 166505436547. The reversal of 166505436541 is 145634505661.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 143448532516 + 23056904025 = 378746^2 + 151845^2 .

It is a cyclic number.

It is not a de Polignac number, because 166505436541 - 235 = 132145698173 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 166505436491 and 166505436500.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (166505436547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 83252718270 + 83252718271.

It is an arithmetic number, because the mean of its divisors is an integer number (83252718271).

Almost surely, 2166505436541 is an apocalyptic number.

It is an amenable number.

166505436541 is a deficient number, since it is larger than the sum of its proper divisors (1).

166505436541 is an equidigital number, since it uses as much as digits as its factorization.

166505436541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296000, while the sum is 46.

The spelling of 166505436541 in words is "one hundred sixty-six billion, five hundred five million, four hundred thirty-six thousand, five hundred forty-one".