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20410582432 = 251761718663
BaseRepresentation
bin10011000000100100…
…001100010110100000
31221200110010000110111
4103000210030112200
5313300102114212
613213153341104
71321536042142
oct230044142640
957613100414
1020410582432
118724272749
123b57567794
131c03782c16
14db8a42c92
157e6d1eea7
hex4c090c5a0

20410582432 has 96 divisors (see below), whose sum is σ = 43858692864. Its totient is φ = 9313382400.

The previous prime is 20410582427. The next prime is 20410582447. The reversal of 20410582432 is 23428501402.

It is a junction number, because it is equal to n+sod(n) for n = 20410582394 and 20410582403.

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, 2351733 + ... + 2360395.

It is an arithmetic number, because the mean of its divisors is an integer number (456861384).

Almost surely, 220410582432 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 20410582432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21929346432).

20410582432 is an abundant number, since it is smaller than the sum of its proper divisors (23448110432).

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

20410582432 is a wasteful number, since it uses less digits than its factorization.

20410582432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8822 (or 8814 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The spelling of 20410582432 in words is "twenty billion, four hundred ten million, five hundred eighty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 61 68 71 122 136 142 244 272 284 488 544 568 976 1037 1136 1207 1952 2074 2272 2414 4148 4331 4828 8296 8662 8663 9656 16592 17324 17326 19312 33184 34648 34652 38624 69296 69304 73627 138592 138608 147254 147271 277216 294508 294542 528443 589016 589084 615073 1056886 1178032 1178168 1230146 2113772 2356064 2356336 2460292 4227544 4712672 4920584 8455088 8983531 9841168 10456241 16910176 17967062 19682336 20912482 35934124 37519453 41824964 71868248 75038906 83649928 143736496 150077812 167299856 287472992 300155624 334599712 600311248 637830701 1200622496 1275661402 2551322804 5102645608 10205291216 20410582432