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66576257 = 1122918973
BaseRepresentation
bin1111110111110…
…1111110000001
311122021102110022
43331331332001
5114020420012
610334543225
71435613606
oct375757601
9148242408
1066576257
1134642800
121a367b15
1310a40347
148bb06ad
155ca1472
hex3f7df81

66576257 has 12 divisors (see below), whose sum is σ = 75706260. Its totient is φ = 58433760.

The previous prime is 66576253. The next prime is 66576259. The reversal of 66576257 is 75267566.

It can be written as a sum of positive squares in 2 ways, for example, as 29170801 + 37405456 = 5401^2 + 6116^2 .

It is not a de Polignac number, because 66576257 - 22 = 66576253 is a prime.

It is a super-2 number, since 2×665762572 = 8864795992260098, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (66576253) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5978 + ... + 12995.

It is an arithmetic number, because the mean of its divisors is an integer number (6308855).

Almost surely, 266576257 is an apocalyptic number.

It is an amenable number.

66576257 is a deficient number, since it is larger than the sum of its proper divisors (9130003).

66576257 is a wasteful number, since it uses less digits than its factorization.

66576257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19024 (or 19013 counting only the distinct ones).

The product of its digits is 529200, while the sum is 44.

The square root of 66576257 is about 8159.4274921712. The cubic root of 66576257 is about 405.2967534985.

The spelling of 66576257 in words is "sixty-six million, five hundred seventy-six thousand, two hundred fifty-seven".

Divisors: 1 11 29 121 319 3509 18973 208703 550217 2295733 6052387 66576257