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5782021689776 = 2417611373253811
BaseRepresentation
bin101010000100011101101…
…0110010101000110110000
3202110202102000220002011012
41110020323112111012300
51224213040023033101
620144120223210052
71134510613306433
oct124107326250660
922422360802135
105782021689776
11192a161563732
12794717446928
1332c31c465947
1415dbcc12981a
15a060c4e1bbb
hex5423b5951b0

5782021689776 has 80 divisors (see below), whose sum is σ = 12064929054048. Its totient is φ = 2674385817600.

The previous prime is 5782021689761. The next prime is 5782021689823. The reversal of 5782021689776 is 6779861202875.

It is a super-2 number, since 2×57820216897762 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (68).

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 15 ways as a sum of consecutive naturals, for example, 22653911 + ... + 22907721.

Almost surely, 25782021689776 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 5782021689776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6032464527024).

5782021689776 is an abundant number, since it is smaller than the sum of its proper divisors (6282907364272).

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

5782021689776 is a wasteful number, since it uses less digits than its factorization.

5782021689776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255270 (or 255264 counting only the distinct ones).

The product of its (nonzero) digits is 142248960, while the sum is 68.

The spelling of 5782021689776 in words is "five trillion, seven hundred eighty-two billion, twenty-one million, six hundred eighty-nine thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 17 34 61 68 122 136 244 272 488 976 1037 1373 2074 2746 4148 5492 8296 10984 16592 21968 23341 46682 83753 93364 167506 186728 253811 335012 373456 507622 670024 1015244 1340048 1423801 2030488 2847602 4060976 4314787 5695204 8629574 11390408 15482471 17259148 22780816 30964942 34518296 61929884 69036592 123859768 247719536 263202007 348482503 526404014 696965006 1052808028 1393930012 2105616056 2787860024 4211232112 5575720048 5924202551 11848405102 21257432683 23696810204 42514865366 47393620408 85029730732 94787240816 170059461464 340118922928 361376355611 722752711222 1445505422444 2891010844888 5782021689776