Search a number
-
+
66040021737 = 33174313732437
BaseRepresentation
bin111101100000010010…
…101100001011101001
320022110102221200221000
4331200102230023221
52040222221143422
650201030505213
74525350631344
oct754022541351
9208412850830
1066040021737
1126009963868
1210970805209
1362c5bc9651
1432a6b1d45b
151ab7b43cac
hexf604ac2e9

66040021737 has 64 divisors (see below), whose sum is σ = 106122044160. Its totient is φ = 40427154432.

The previous prime is 66040021681. The next prime is 66040021753. The reversal of 66040021737 is 73712004066.

66040021737 is a `hidden beast` number, since 6 + 6 + 0 + 400 + 217 + 37 = 666.

It is not a de Polignac number, because 66040021737 - 210 = 66040020713 is a prime.

It is a super-2 number, since 2×660400217372 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (66040021337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27097683 + ... + 27100119.

It is an arithmetic number, because the mean of its divisors is an integer number (1658156940).

Almost surely, 266040021737 is an apocalyptic number.

It is an amenable number.

66040021737 is a deficient number, since it is larger than the sum of its proper divisors (40082022423).

66040021737 is a wasteful number, since it uses less digits than its factorization.

66040021737 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3879 (or 3873 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 66040021737 in words is "sixty-six billion, forty million, twenty-one thousand, seven hundred thirty-seven".

Divisors: 1 3 9 17 27 43 51 129 153 387 459 731 1161 1373 2193 2437 4119 6579 7311 12357 19737 21933 23341 37071 41429 59039 65799 70023 104791 124287 177117 210069 314373 372861 531351 630207 943119 1003663 1118583 1594053 1781447 2829357 3010989 3346001 5344341 9032967 10038003 16033023 27098901 30114009 48099069 56882017 90342027 143878043 170646051 431634129 511938153 1294902387 1535814459 2445926731 3884707161 7337780193 22013340579 66040021737