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668022584832 = 293348323393
BaseRepresentation
bin10011011100010010011…
…11111011011000000000
32100212021122100101201000
421232021033323120000
541421102240203312
61230515122212000
766156136165611
oct11561117733000
92325248311630
10668022584832
11238341374359
12a95734b4000
134acc05075c5
14244923ddc08
151259ba7cadc
hex9b893fb600

668022584832 has 80 divisors (see below), whose sum is σ = 1977393282480. Its totient is φ = 222674190336.

The previous prime is 668022584821. The next prime is 668022584861. The reversal of 668022584832 is 238485220866.

It is a happy number.

668022584832 is a `hidden beast` number, since 6 + 6 + 8 + 0 + 22 + 584 + 8 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24147873 + ... + 24175520.

It is an arithmetic number, because the mean of its divisors is an integer number (24717416031).

Almost surely, 2668022584832 is an apocalyptic number.

It is an amenable number.

668022584832 is an abundant number, since it is smaller than the sum of its proper divisors (1309370697648).

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

668022584832 is an equidigital number, since it uses as much as digits as its factorization.

668022584832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48323420 (or 48323398 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 668022584832 in words is "six hundred sixty-eight billion, twenty-two million, five hundred eighty-four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 3456 4608 6912 13824 48323393 96646786 144970179 193293572 289940358 386587144 434910537 579880716 773174288 869821074 1159761432 1304731611 1546348576 1739642148 2319522864 2609463222 3092697152 3479284296 4639045728 5218926444 6185394304 6958568592 9278091456 10437852888 12370788608 13917137184 18556182912 20875705776 24741577216 27834274368 37112365824 41751411552 55668548736 74224731648 83502823104 111337097472 167005646208 222674194944 334011292416 668022584832