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66800475 = 3252727383
BaseRepresentation
bin1111111011010…
…0101101011011
311122200211000200
43332310231123
5114100103400
610343433243
71440536400
oct376645533
9148624020
1066800475
1134786205
121a455823
1310abb411
148c2c2a7
155ce7b00
hex3fb4b5b

66800475 has 108 divisors (see below), whose sum is σ = 142787736. Its totient is φ = 29756160.

The previous prime is 66800423. The next prime is 66800479. The reversal of 66800475 is 57400866.

It is a happy number.

It is not a de Polignac number, because 66800475 - 27 = 66800347 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (66800479) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 804784 + ... + 804866.

Almost surely, 266800475 is an apocalyptic number.

66800475 is an abundant number, since it is smaller than the sum of its proper divisors (75987261).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66800475 is a wasteful number, since it uses less digits than its factorization.

66800475 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 66800475 is about 8173.1557552759. The cubic root of 66800475 is about 405.7512348446.

The spelling of 66800475 in words is "sixty-six million, eight hundred thousand, four hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 73 75 83 105 147 175 219 225 245 249 315 365 415 441 511 525 581 657 735 747 1095 1225 1245 1533 1575 1743 1825 2075 2205 2555 2905 3285 3577 3675 3735 4067 4599 5229 5475 6059 6225 7665 8715 10731 11025 12201 12775 14525 16425 17885 18177 18675 20335 22995 26145 30295 32193 36603 38325 42413 43575 53655 54531 61005 89425 90885 101675 114975 127239 130725 151475 160965 183015 212065 268275 272655 296891 305025 381717 454425 636195 804825 890673 915075 1060325 1363275 1484455 1908585 2672019 3180975 4453365 7422275 9542925 13360095 22266825 66800475