Search a number
-
+
666814014720 = 28335722711453
BaseRepresentation
bin10011011010000010011…
…01100110010100000000
32100202011102012200012000
421231001031212110000
541411113341432340
61230155150304000
766114162414600
oct11550115462400
92322142180160
10666814014720
11237881144787
12a92967b8000
134ab5a002369
14243b9abcc00
151252a8ecd30
hex9b41366500

666814014720 has 864 divisors, whose sum is σ = 2764650954240. Its totient is φ = 151747706880.

The previous prime is 666814014667. The next prime is 666814014733. The reversal of 666814014720 is 27410418666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 458921514 + ... + 458922966.

Almost surely, 2666814014720 is an apocalyptic number.

666814014720 is a gapful number since it is divisible by the number (60) 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 666814014720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382325477120).

666814014720 is an abundant number, since it is smaller than the sum of its proper divisors (2097836939520).

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

666814014720 is a wasteful number, since it uses less digits than its factorization.

666814014720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768 (or 1741 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 666814014720 in words is "six hundred sixty-six billion, eight hundred fourteen million, fourteen thousand, seven hundred twenty".