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66047670 = 23351331607
BaseRepresentation
bin1111101111110…
…0111010110110
311121021120101000
43323330322312
5113402011140
610315344130
71431252543
oct373747266
9147246330
1066047670
1134311657
121a152046
13108b6880
148ab3bca
155be9a30
hex3efceb6

66047670 has 128 divisors (see below), whose sum is σ = 196116480. Its totient is φ = 15707520.

The previous prime is 66047659. The next prime is 66047671. The reversal of 66047670 is 7674066.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66047671) 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 63 ways as a sum of consecutive naturals, for example, 108507 + ... + 109113.

It is an arithmetic number, because the mean of its divisors is an integer number (1532160).

Almost surely, 266047670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66047670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98058240).

66047670 is an abundant number, since it is smaller than the sum of its proper divisors (130068810).

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

66047670 is a wasteful number, since it uses less digits than its factorization.

66047670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 661 counting only the distinct ones).

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

The square root of 66047670 is about 8126.9717607483. The cubic root of 66047670 is about 404.2212745619.

The spelling of 66047670 in words is "sixty-six million, forty-seven thousand, six hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 31 39 45 54 62 65 78 90 93 117 130 135 155 186 195 234 270 279 310 351 390 403 465 558 585 607 702 806 837 930 1170 1209 1214 1395 1674 1755 1821 2015 2418 2790 3035 3510 3627 3642 4030 4185 5463 6045 6070 7254 7891 8370 9105 10881 10926 12090 15782 16389 18135 18210 18817 21762 23673 27315 32778 36270 37634 39455 47346 54405 54630 56451 71019 78910 81945 94085 108810 112902 118365 142038 163890 169353 188170 213057 236730 244621 282255 338706 355095 426114 489242 508059 564510 710190 733863 846765 1016118 1065285 1223105 1467726 1693530 2130570 2201589 2446210 2540295 3669315 4403178 5080590 6604767 7338630 11007945 13209534 22015890 33023835 66047670