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66123057 = 37111397227
BaseRepresentation
bin1111110000111…
…1010100110001
311121102101210010
43330033110301
5113411414212
610321125133
71432015410
oct374172461
9147371703
1066123057
1134363260
121a1897a9
1310911c90
148ad3477
155c1203c
hex3f0f531

66123057 has 64 divisors (see below), whose sum is σ = 120121344. Its totient is φ = 31242240.

The previous prime is 66123053. The next prime is 66123067. The reversal of 66123057 is 75032166.

It is not a de Polignac number, because 66123057 - 22 = 66123053 is a prime.

It is not an unprimeable number, because it can be changed into a prime (66123053) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 291178 + ... + 291404.

It is an arithmetic number, because the mean of its divisors is an integer number (1876896).

Almost surely, 266123057 is an apocalyptic number.

It is an amenable number.

66123057 is a deficient number, since it is larger than the sum of its proper divisors (53998287).

66123057 is a wasteful number, since it uses less digits than its factorization.

66123057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358.

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 66123057 is about 8131.6085124654. The cubic root of 66123057 is about 404.3750091931.

It can be divided in two parts, 6612 and 3057, that added together give a palindrome (9669).

The spelling of 66123057 in words is "sixty-six million, one hundred twenty-three thousand, fifty-seven".

Divisors: 1 3 7 11 13 21 33 39 77 91 97 143 227 231 273 291 429 679 681 1001 1067 1261 1589 2037 2497 2951 3003 3201 3783 4767 7469 7491 8827 8853 13871 17479 20657 22019 22407 26481 32461 41613 52437 61971 66057 97097 97383 154133 227227 242209 286247 291291 462399 681681 726627 858741 1695463 2003729 3148717 5086389 6011187 9446151 22041019 66123057