Search a number
-
+
66666564 = 2235107641
BaseRepresentation
bin1111111001010…
…0000001000100
311122110000100000
43332110001010
5114031312224
610340521300
71436441106
oct376240104
9148400300
1066666564
11346a4638
121a3b0230
1310a72493
148bd5576
155cbd0c9
hex3f94044

66666564 has 72 divisors (see below), whose sum is σ = 176668128. Its totient is φ = 21980160.

The previous prime is 66666559. The next prime is 66666569. The reversal of 66666564 is 46566666.

It is an interprime number because it is at equal distance from previous prime (66666559) and next prime (66666569).

It is not an unprimeable number, because it can be changed into a prime (66666569) 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, 103684 + ... + 104324.

It is an arithmetic number, because the mean of its divisors is an integer number (2453724).

Almost surely, 266666564 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 66666564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88334064).

66666564 is an abundant number, since it is smaller than the sum of its proper divisors (110001564).

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

66666564 is a wasteful number, since it uses less digits than its factorization.

66666564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 753 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The square root of 66666564 is about 8164.9595222512. The cubic root of 66666564 is about 405.4799248917.

The spelling of 66666564 in words is "sixty-six million, six hundred sixty-six thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 107 108 162 214 243 321 324 428 486 641 642 963 972 1282 1284 1923 1926 2564 2889 3846 3852 5769 5778 7692 8667 11538 11556 17307 17334 23076 26001 34614 34668 51921 52002 68587 69228 103842 104004 137174 155763 205761 207684 274348 311526 411522 617283 623052 823044 1234566 1851849 2469132 3703698 5555547 7407396 11111094 16666641 22222188 33333282 66666564