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66573945 = 3251499929
BaseRepresentation
bin1111110111110…
…1011001111001
311122021022021200
43331331121321
5114020331240
610334524413
71435604064
oct375753171
9148238250
1066573945
1134640a99
121a366709
1310a3c289
148bad8db
155ca0930
hex3f7d679

66573945 has 24 divisors (see below), whose sum is σ = 116181000. Its totient is φ = 35264256.

The previous prime is 66573943. The next prime is 66573953. The reversal of 66573945 is 54937566.

It can be written as a sum of positive squares in 4 ways, for example, as 184041 + 66389904 = 429^2 + 8148^2 .

It is not a de Polignac number, because 66573945 - 21 = 66573943 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 66573945.

It is not an unprimeable number, because it can be changed into a prime (66573943) 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 23 ways as a sum of consecutive naturals, for example, 1741 + ... + 11669.

It is an arithmetic number, because the mean of its divisors is an integer number (4840875).

Almost surely, 266573945 is an apocalyptic number.

It is an amenable number.

66573945 is a deficient number, since it is larger than the sum of its proper divisors (49607055).

66573945 is a wasteful number, since it uses less digits than its factorization.

66573945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10089 (or 10086 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The square root of 66573945 is about 8159.2858143345. The cubic root of 66573945 is about 405.2920618512.

The spelling of 66573945 in words is "sixty-six million, five hundred seventy-three thousand, nine hundred forty-five".

Divisors: 1 3 5 9 15 45 149 447 745 1341 2235 6705 9929 29787 49645 89361 148935 446805 1479421 4438263 7397105 13314789 22191315 66573945