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66666656 = 2572174161
BaseRepresentation
bin1111111001010…
…0000010100000
311122110000110102
43332110002200
5114031313111
610340521532
71436441300
oct376240240
9148400412
1066666656
11346a4711
121a3b02a8
1310a72534
148bd5600
155cbd13b
hex3f940a0

66666656 has 144 divisors (see below), whose sum is σ = 168317352. Its totient is φ = 25804800.

The previous prime is 66666653. The next prime is 66666667. The reversal of 66666656 is 65666666.

It can be written as a sum of positive squares in 4 ways, for example, as 30426256 + 36240400 = 5516^2 + 6020^2 .

Its product of digits (1399680) is a multiple of the sum of its prime divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 66666656.

It is not an unprimeable number, because it can be changed into a prime (66666653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1092866 + ... + 1092926.

Almost surely, 266666656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66666656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84158676).

66666656 is an abundant number, since it is smaller than the sum of its proper divisors (101650696).

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

66666656 is a wasteful number, since it uses less digits than its factorization.

66666656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 128 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 47.

The square root of 66666656 is about 8164.9651560800. The cubic root of 66666656 is about 405.4801114126.

The spelling of 66666656 in words is "sixty-six million, six hundred sixty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 41 49 56 61 68 82 98 112 119 122 136 164 196 224 238 244 272 287 328 392 427 476 488 544 574 656 697 784 833 854 952 976 1037 1148 1312 1394 1568 1666 1708 1904 1952 2009 2074 2296 2501 2788 2989 3332 3416 3808 4018 4148 4592 4879 5002 5576 5978 6664 6832 7259 8036 8296 9184 9758 10004 11152 11956 13328 13664 14518 16072 16592 17507 19516 20008 22304 23912 26656 29036 32144 33184 34153 35014 39032 40016 42517 47824 50813 58072 64288 68306 70028 78064 80032 85034 95648 101626 116144 122549 136612 140056 156128 170068 203252 232288 245098 273224 280112 297619 340136 406504 490196 546448 560224 595238 680272 813008 980392 1092896 1190476 1360544 1626016 1960784 2083333 2380952 3921568 4166666 4761904 8333332 9523808 16666664 33333328 66666656