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5890442485984 = 257193733710543
BaseRepresentation
bin101010110110111100110…
…1110110110000011100000
3202212010021001202012011221
41111231321232312003200
51233002111234022414
620310010521144424
71145366441003260
oct125557156660340
922763231665157
105890442485984
111971139246641
127b173532b114
1333960a72b724
141651556ad7a0
15a3355b47224
hex55b79bb60e0

5890442485984 has 96 divisors (see below), whose sum is σ = 13988454036480. Its totient is φ = 2385195766272.

The previous prime is 5890442485901. The next prime is 5890442485987. The reversal of 5890442485984 is 4895842440985.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5890442485987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267784 + ... + 3442759.

It is an arithmetic number, because the mean of its divisors is an integer number (145713062880).

Almost surely, 25890442485984 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 5890442485984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6994227018240).

5890442485984 is an abundant number, since it is smaller than the sum of its proper divisors (8098011550496).

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

5890442485984 is a wasteful number, since it uses less digits than its factorization.

5890442485984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3710952 (or 3710944 counting only the distinct ones).

The product of its (nonzero) digits is 530841600, while the sum is 70.

The spelling of 5890442485984 in words is "five trillion, eight hundred ninety billion, four hundred forty-two million, four hundred eighty-five thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 373 532 608 746 1064 1492 2128 2611 2984 4256 5222 5968 7087 10444 11936 14174 20888 28348 41776 49609 56696 83552 99218 113392 198436 226784 396872 793744 1587488 3710543 7421086 14842172 25973801 29684344 51947602 59368688 70500317 103895204 118737376 141000634 207790408 282001268 415580816 493502219 564002536 831161632 987004438 1128005072 1384032539 1974008876 2256010144 2768065078 3948017752 5536130156 7896035504 9688227773 11072260312 15792071008 19376455546 22144520624 26296618241 38752911092 44289041248 52593236482 77505822184 105186472964 155011644368 184076327687 210372945928 310023288736 368152655374 420745891856 736305310748 841491783712 1472610621496 2945221242992 5890442485984