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66005941237 = 97745791253
BaseRepresentation
bin111101011110010000…
…101011101111110101
320022101001211020021021
4331132100223233311
52040140010104422
650153412221141
74524455146315
oct753620535765
9208331736237
1066005941237
1125aa16a6665
121096130a7b1
1362bbb26282
1432a23ab445
151ab4b60dc7
hexf5e42bbf5

66005941237 has 8 divisors (see below), whose sum is σ = 66696088536. Its totient is φ = 65315991552.

The previous prime is 66005941207. The next prime is 66005941249. The reversal of 66005941237 is 73214950066.

It can be written as a sum of positive squares in 4 ways, for example, as 23204124241 + 42801816996 = 152329^2 + 206886^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 66005941237 - 27 = 66005941109 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 66005941193 and 66005941202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66005941207) 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 in 7 ways as a sum of consecutive naturals, for example, 677703 + ... + 768955.

It is an arithmetic number, because the mean of its divisors is an integer number (8337011067).

Almost surely, 266005941237 is an apocalyptic number.

It is an amenable number.

66005941237 is a deficient number, since it is larger than the sum of its proper divisors (690147299).

66005941237 is an equidigital number, since it uses as much as digits as its factorization.

66005941237 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98807.

The product of its (nonzero) digits is 272160, while the sum is 43.

The spelling of 66005941237 in words is "sixty-six billion, five million, nine hundred forty-one thousand, two hundred thirty-seven".

Divisors: 1 97 7457 91253 723329 8851541 680473621 66005941237