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755808066 = 2321317189997
BaseRepresentation
bin101101000011001…
…011011101000010
31221200012000202100
4231003023131002
53021441324231
6202555331230
724505156026
oct5503133502
91850160670
10755808066
113586a7872
12191150b16
13c077c310
1472544386
15465481e6
hex2d0cb742

755808066 has 48 divisors (see below), whose sum is σ = 1867300344. Its totient is φ = 218875392.

The previous prime is 755808041. The next prime is 755808101. The reversal of 755808066 is 660808557.

755808066 is a `hidden beast` number, since 7 + 5 + 580 + 8 + 0 + 66 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 421686225 + 334121841 = 20535^2 + 18279^2 .

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91021 + ... + 98976.

Almost surely, 2755808066 is an apocalyptic number.

755808066 is an abundant number, since it is smaller than the sum of its proper divisors (1111492278).

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

755808066 is a wasteful number, since it uses less digits than its factorization.

755808066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190035 (or 190032 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 755808066 is about 27491.9636621322. The cubic root of 755808066 is about 910.8995918276.

The spelling of 755808066 in words is "seven hundred fifty-five million, eight hundred eight thousand, sixty-six".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 221 234 306 442 663 1326 1989 3978 189997 379994 569991 1139982 1709973 2469961 3229949 3419946 4939922 6459898 7409883 9689847 14819766 19379694 22229649 29069541 41989337 44459298 58139082 83978674 125968011 251936022 377904033 755808066