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66001134441 = 31121710695371
BaseRepresentation
bin111101011101111110…
…010110001101101001
320022100201210000120210
4331131332112031221
52040132242300231
650153121211333
74524366246324
oct753576261551
9208321700523
1066001134441
1125a99a13200
121095b790b49
1362bab32408
1432a18b97bb
151ab4511a46
hexf5df96369

66001134441 has 24 divisors (see below), whose sum is σ = 102418882272. Its totient is φ = 37647702400.

The previous prime is 66001134379. The next prime is 66001134457. The reversal of 66001134441 is 14443110066.

It is not a de Polignac number, because 66001134441 - 210 = 66001133417 is a prime.

It is a super-2 number, since 2×660011344412 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 66001134399 and 66001134408.

It is not an unprimeable number, because it can be changed into a prime (66001134041) 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 23 ways as a sum of consecutive naturals, for example, 5341515 + ... + 5353856.

It is an arithmetic number, because the mean of its divisors is an integer number (4267453428).

Almost surely, 266001134441 is an apocalyptic number.

It is an amenable number.

66001134441 is a deficient number, since it is larger than the sum of its proper divisors (36417747831).

66001134441 is a wasteful number, since it uses less digits than its factorization.

66001134441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10695413 (or 10695402 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 66001134441 in words is "sixty-six billion, one million, one hundred thirty-four thousand, four hundred forty-one".

Divisors: 1 3 11 17 33 51 121 187 363 561 2057 6171 10695371 32086113 117649081 181821307 352947243 545463921 1294139891 2000034377 3882419673 6000103131 22000378147 66001134441