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666848820 = 2235112274451
BaseRepresentation
bin100111101111110…
…100111000110100
31201110210102121110
4213233310320310
52331203130240
6150100515020
722345056441
oct4757647064
91643712543
10666848820
11312467430
121673aba70
13a8203001
14647c89c8
153d824c80
hex27bf4e34

666848820 has 96 divisors (see below), whose sum is σ = 2046352896. Its totient is φ = 160912000.

The previous prime is 666848807. The next prime is 666848837. The reversal of 666848820 is 28848666.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 666848820.

It is a congruent number.

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, 147595 + ... + 152045.

It is an arithmetic number, because the mean of its divisors is an integer number (21316176).

Almost surely, 2666848820 is an apocalyptic number.

666848820 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 666848820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023176448).

666848820 is an abundant number, since it is smaller than the sum of its proper divisors (1379504076).

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

666848820 is a wasteful number, since it uses less digits than its factorization.

666848820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4701 (or 4699 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The square root of 666848820 is about 25823.4161179345. The cubic root of 666848820 is about 873.6600202879.

The spelling of 666848820 in words is "six hundred sixty-six million, eight hundred forty-eight thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 227 330 454 660 681 908 1135 1362 2270 2497 2724 3405 4451 4540 4994 6810 7491 8902 9988 12485 13353 13620 14982 17804 22255 24970 26706 29964 37455 44510 48961 49940 53412 66765 74910 89020 97922 133530 146883 149820 195844 244805 267060 293766 489610 587532 734415 979220 1010377 1468830 2020754 2937660 3031131 4041508 5051885 6062262 10103770 11114147 12124524 15155655 20207540 22228294 30311310 33342441 44456588 55570735 60622620 66684882 111141470 133369764 166712205 222282940 333424410 666848820