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642023404613424 = 24337320358428609
BaseRepresentation
bin1001000111111010101011100…
…0111110000010111100110000
310010012012211121221120120212000
42101332222320332002330300
51133122402413040112144
610153245251431534000
7252142442321626431
oct22176527076027460
93105184557516760
10642023404613424
11176628662430319
126001052b22a300
1321731716493022
14b47815472b488
154e3577e99c769
hex247eab8f82f30

642023404613424 has 80 divisors (see below), whose sum is σ = 1868089409253600. Its totient is φ = 211076187807744.

The previous prime is 642023404613341. The next prime is 642023404613443. The reversal of 642023404613424 is 424316404320246.

642023404613424 is a `hidden beast` number, since 6 + 4 + 2 + 0 + 2 + 3 + 4 + 0 + 4 + 613 + 4 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 642023404613424.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10179182769 + ... + 10179245840.

It is an arithmetic number, because the mean of its divisors is an integer number (23351117615670).

Almost surely, 2642023404613424 is an apocalyptic number.

It is an amenable number.

642023404613424 is an abundant number, since it is smaller than the sum of its proper divisors (1226066004640176).

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

642023404613424 is a wasteful number, since it uses less digits than its factorization.

642023404613424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20358428699 (or 20358428687 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 45.

The spelling of 642023404613424 in words is "six hundred forty-two trillion, twenty-three billion, four hundred four million, six hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 73 108 144 146 216 219 292 432 438 584 657 876 1168 1314 1752 1971 2628 3504 3942 5256 7884 10512 15768 31536 20358428609 40716857218 61075285827 81433714436 122150571654 162867428872 183225857481 244301143308 325734857744 366451714962 488602286616 549677572443 732903429924 977204573232 1099355144886 1465806859848 1486165288457 2198710289772 2931613719696 2972330576914 4397420579544 4458495865371 5944661153828 8794841159088 8916991730742 11889322307656 13375487596113 17833983461484 23778644615312 26750975192226 35667966922968 40126462788339 53501950384452 71335933845936 80252925576678 107003900768904 160505851153356 214007801537808 321011702306712 642023404613424