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66226667525 = 5217349521857
BaseRepresentation
bin111101101011011010…
…101100000000000101
320022221110011021210222
4331223122230000011
52041113011330100
650231335154125
74533105246224
oct755332540005
9208843137728
1066226667525
11260a5255587
1210a03215945
136325789445
1432c3826cbb
151ac9211485
hexf6b6ac005

66226667525 has 48 divisors (see below), whose sum is σ = 87470182800. Its totient is φ = 49568563200.

The previous prime is 66226667509. The next prime is 66226667527. The reversal of 66226667525 is 52576662266.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 15914831716 + 50311835809 = 126154^2 + 224303^2 .

It is not a de Polignac number, because 66226667525 - 24 = 66226667509 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66226667527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77276897 + ... + 77277753.

It is an arithmetic number, because the mean of its divisors is an integer number (1822295475).

Almost surely, 266226667525 is an apocalyptic number.

It is an amenable number.

66226667525 is a deficient number, since it is larger than the sum of its proper divisors (21243515275).

66226667525 is a wasteful number, since it uses less digits than its factorization.

66226667525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754 (or 1749 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 53.

The spelling of 66226667525 in words is "sixty-six billion, two hundred twenty-six million, six hundred sixty-seven thousand, five hundred twenty-five".

Divisors: 1 5 17 25 85 349 425 521 857 1745 2605 4285 5933 8725 8857 13025 14569 21425 29665 44285 72845 148325 181829 221425 299093 364225 446497 909145 1495465 2232485 3091093 4545725 5084581 7477325 7590449 11162425 15455465 25422905 37952245 77277325 127114525 155827453 189761225 779137265 2649066701 3895686325 13245333505 66226667525