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666378880 = 27537107263
BaseRepresentation
bin100111101110000…
…010001010000000
31201102220112222021
4213232002022000
52331043111010
6150042451224
722341061366
oct4756021200
91642815867
10666378880
11312176352
12167203b14
13a809a13b
1464705636
153d7808da
hex27b82280

666378880 has 128 divisors (see below), whose sum is σ = 1657687680. Its totient is φ = 255946752.

The previous prime is 666378877. The next prime is 666378893. The reversal of 666378880 is 88873666.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2533629 + ... + 2533891.

It is an arithmetic number, because the mean of its divisors is an integer number (12950685).

Almost surely, 2666378880 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 666378880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828843840).

666378880 is an abundant number, since it is smaller than the sum of its proper divisors (991308800).

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

666378880 is a wasteful number, since it uses less digits than its factorization.

666378880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 52.

The square root of 666378880 is about 25814.3154083156. The cubic root of 666378880 is about 873.4547442392.

The spelling of 666378880 in words is "six hundred sixty-six million, three hundred seventy-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 107 128 148 160 185 214 263 296 320 370 428 526 535 592 640 740 856 1052 1070 1184 1315 1480 1712 2104 2140 2368 2630 2960 3424 3959 4208 4280 4736 5260 5920 6848 7918 8416 8560 9731 10520 11840 13696 15836 16832 17120 19462 19795 21040 23680 28141 31672 33664 34240 38924 39590 42080 48655 56282 63344 68480 77848 79180 84160 97310 112564 126688 140705 155696 158360 168320 194620 225128 253376 281410 311392 316720 389240 450256 506752 562820 622784 633440 778480 900512 1041217 1125640 1245568 1266880 1556960 1801024 2082434 2251280 2533760 3113920 3602048 4164868 4502560 5206085 6227840 8329736 9005120 10412170 16659472 18010240 20824340 33318944 41648680 66637888 83297360 133275776 166594720 333189440 666378880