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66411643131 = 32174313277607
BaseRepresentation
bin111101110110011100…
…010100000011111011
320100102100020000122100
4331312130110003323
52042002340040011
650301543554443
74540512436551
oct756634240373
9210370200570
1066411643131
112618a706489
1210a5515ba23
136354bb2c72
143300217bd1
151ada59dd56
hexf767140fb

66411643131 has 48 divisors (see below), whose sum is σ = 104024853504. Its totient is φ = 40664961792.

The previous prime is 66411643091. The next prime is 66411643153. The reversal of 66411643131 is 13134611466.

66411643131 is a `hidden beast` number, since 6 + 6 + 4 + 1 + 1 + 643 + 1 + 3 + 1 = 666.

It is not a de Polignac number, because 66411643131 - 210 = 66411642107 is a prime.

It is a super-2 number, since 2×664116431312 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (66411643031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8726530 + ... + 8734136.

It is an arithmetic number, because the mean of its divisors is an integer number (2167184448).

Almost surely, 266411643131 is an apocalyptic number.

66411643131 is a deficient number, since it is larger than the sum of its proper divisors (37613210373).

66411643131 is a wasteful number, since it uses less digits than its factorization.

66411643131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9000 (or 8997 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The spelling of 66411643131 in words is "sixty-six billion, four hundred eleven million, six hundred forty-three thousand, one hundred thirty-one".

Divisors: 1 3 9 17 43 51 129 153 387 731 1327 2193 3981 6579 7607 11943 22559 22821 57061 67677 68463 129319 171183 203031 327101 387957 513549 970037 981303 1163871 2910111 2943909 5560717 8730333 10094489 16682151 30283467 50046453 90850401 171606313 434063027 514818939 1302189081 1544456817 3906567243 7379071459 22137214377 66411643131