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66505743630 = 2335349705781
BaseRepresentation
bin111101111100000011…
…010001110100001110
320100122220021211021000
4331330003101310032
52042200432244010
650315144521130
74543034331204
oct757403216416
9210586254230
1066505743630
1126228838597
1210a807801a6
13636b53c431
14330c911074
151ae398a7c0
hexf7c0d1d0e

66505743630 has 64 divisors (see below), whose sum is σ = 177857064000. Its totient is φ = 17684023680.

The previous prime is 66505743617. The next prime is 66505743637. The reversal of 66505743630 is 3634750566.

66505743630 is a `hidden beast` number, since 6 + 6 + 5 + 0 + 5 + 7 + 4 + 3 + 630 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66505743637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 258661 + ... + 447120.

It is an arithmetic number, because the mean of its divisors is an integer number (2779016625).

Almost surely, 266505743630 is an apocalyptic number.

66505743630 is an abundant number, since it is smaller than the sum of its proper divisors (111351320370).

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

66505743630 is a wasteful number, since it uses less digits than its factorization.

66505743630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706146 (or 706140 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 45.

The spelling of 66505743630 in words is "sixty-six billion, five hundred five million, seven hundred forty-three thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 349 698 1047 1745 2094 3141 3490 5235 6282 9423 10470 15705 18846 31410 47115 94230 705781 1411562 2117343 3528905 4234686 6352029 7057810 10586715 12704058 19056087 21173430 31760145 38112174 63520290 95280435 190560870 246317569 492635138 738952707 1231587845 1477905414 2216858121 2463175690 3694763535 4433716242 6650574363 7389527070 11084290605 13301148726 22168581210 33252871815 66505743630