Search a number
-
+
66684094464 = 2113131767733
BaseRepresentation
bin111110000110101011…
…101000100000000000
320101010022212222121110
4332012223220200000
52043032112010324
650344555323320
74550331310401
oct760653504000
9211108788543
1066684094464
112630a484179
1210b10450540
136399486780
1433284999a8
151b0446a329
hexf86ae8800

66684094464 has 384 divisors, whose sum is σ = 206024757120. Its totient is φ = 18997051392.

The previous prime is 66684094429. The next prime is 66684094471. The reversal of 66684094464 is 46449048666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90973842 + ... + 90974574.

It is an arithmetic number, because the mean of its divisors is an integer number (536522805).

Almost surely, 266684094464 is an apocalyptic number.

66684094464 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66684094464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103012378560).

66684094464 is an abundant number, since it is smaller than the sum of its proper divisors (139340662656).

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

66684094464 is a wasteful number, since it uses less digits than its factorization.

66684094464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 57.

The spelling of 66684094464 in words is "sixty-six billion, six hundred eighty-four million, ninety-four thousand, four hundred sixty-four".