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666777696 = 25313796763
BaseRepresentation
bin100111101111100…
…011100001100000
31201110122211001020
4213233203201200
52331143341241
6150055205440
722344342204
oct4757434140
91643584036
10666777696
11312418a52
12167376880
13a81a9820
14647aab04
153d80db66
hex27be3860

666777696 has 96 divisors (see below), whose sum is σ = 1909071360. Its totient is φ = 202535424.

The previous prime is 666777691. The next prime is 666777707. The reversal of 666777696 is 696777666.

666777696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×6667776963 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (666777691) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95211 + ... + 101973.

It is an arithmetic number, because the mean of its divisors is an integer number (19886160).

Almost surely, 2666777696 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 666777696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954535680).

666777696 is an abundant number, since it is smaller than the sum of its proper divisors (1242293664).

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

666777696 is a wasteful number, since it uses less digits than its factorization.

666777696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6868 (or 6860 counting only the distinct ones).

The product of its digits is 24004512, while the sum is 60.

The square root of 666777696 is about 25822.0389589978. The cubic root of 666777696 is about 873.6289585726.

The spelling of 666777696 in words is "six hundred sixty-six million, seven hundred seventy-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 79 96 104 156 158 208 237 312 316 416 474 624 632 948 1027 1248 1264 1896 2054 2528 3081 3792 4108 6162 6763 7584 8216 12324 13526 16432 20289 24648 27052 32864 40578 49296 54104 81156 87919 98592 108208 162312 175838 216416 263757 324624 351676 527514 534277 649248 703352 1055028 1068554 1406704 1602831 2110056 2137108 2813408 3205662 4220112 4274216 6411324 6945601 8440224 8548432 12822648 13891202 17096864 20836803 25645296 27782404 41673606 51290592 55564808 83347212 111129616 166694424 222259232 333388848 666777696