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66772901 = 1337138821
BaseRepresentation
bin1111111010110…
…1111110100101
311122122102012102
43332231332211
5114043213101
610343101445
71440363116
oct376557645
9148572172
1066772901
1134767518
121a441885
1310aab9c0
148c2220d
155cde86b
hex3fadfa5

66772901 has 8 divisors (see below), whose sum is σ = 73853304. Its totient is φ = 59970240.

The previous prime is 66772861. The next prime is 66772921. The reversal of 66772901 is 10927766.

It can be written as a sum of positive squares in 4 ways, for example, as 2788900 + 63984001 = 1670^2 + 7999^2 .

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 66772901 - 210 = 66771877 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66772921) 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 in 7 ways as a sum of consecutive naturals, for example, 68930 + ... + 69891.

It is an arithmetic number, because the mean of its divisors is an integer number (9231663).

Almost surely, 266772901 is an apocalyptic number.

It is an amenable number.

66772901 is a deficient number, since it is larger than the sum of its proper divisors (7080403).

66772901 is a wasteful number, since it uses less digits than its factorization.

66772901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138871.

The product of its (nonzero) digits is 31752, while the sum is 38.

The square root of 66772901 is about 8171.4687174338. The cubic root of 66772901 is about 405.6953982939.

The spelling of 66772901 in words is "sixty-six million, seven hundred seventy-two thousand, nine hundred one".

Divisors: 1 13 37 481 138821 1804673 5136377 66772901