Search a number
-
+
66411968 = 267532797
BaseRepresentation
bin1111110101010…
…1110111000000
311121222002002112
43331111313000
5114000140333
610331234452
71434330620
oct375256700
9147862075
1066411968
1134540327
121a2a8a28
13109b362c
148b6a880
155c6c948
hex3f55dc0

66411968 has 56 divisors (see below), whose sum is σ = 153509472. Its totient is φ = 27915264.

The previous prime is 66411967. The next prime is 66411991. The reversal of 66411968 is 86911466.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66411967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22346 + ... + 25142.

Almost surely, 266411968 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 66411968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76754736).

66411968 is an abundant number, since it is smaller than the sum of its proper divisors (87097504).

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

66411968 is a wasteful number, since it uses less digits than its factorization.

66411968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2869 (or 2859 counting only the distinct ones).

The product of its digits is 62208, while the sum is 41.

The square root of 66411968 is about 8149.3538394157. The cubic root of 66411968 is about 404.9630977910.

The spelling of 66411968 in words is "sixty-six million, four hundred eleven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 112 212 224 371 424 448 742 848 1484 1696 2797 2968 3392 5594 5936 11188 11872 19579 22376 23744 39158 44752 78316 89504 148241 156632 179008 296482 313264 592964 626528 1037687 1185928 1253056 2075374 2371856 4150748 4743712 8301496 9487424 16602992 33205984 66411968