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20528983920 = 2435596123767
BaseRepresentation
bin10011000111100111…
…110110111101110000
31221222200220102202210
4103013213312331300
5314020404441140
613233023212120
71324504325034
oct230747667560
957880812683
1020528983920
118785092515
123b8b147040
131c2216a383
14dca6641c4
1580240bd80
hex4c79f6f70

20528983920 has 160 divisors (see below), whose sum is σ = 65782218240. Its totient is φ = 5293163520.

The previous prime is 20528983889. The next prime is 20528983963. The reversal of 20528983920 is 2938982502.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 20528983920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 851877 + ... + 875643.

It is an arithmetic number, because the mean of its divisors is an integer number (411138864).

Almost surely, 220528983920 is an apocalyptic number.

20528983920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20528983920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32891109120).

20528983920 is an abundant number, since it is smaller than the sum of its proper divisors (45253234320).

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

20528983920 is a wasteful number, since it uses less digits than its factorization.

20528983920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23903 (or 23897 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 20528983920 in words is "twenty billion, five hundred twenty-eight million, nine hundred eighty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 59 60 61 80 118 120 122 177 183 236 240 244 295 305 354 366 472 488 590 610 708 732 885 915 944 976 1180 1220 1416 1464 1770 1830 2360 2440 2832 2928 3540 3599 3660 4720 4880 7080 7198 7320 10797 14160 14396 14640 17995 21594 23767 28792 35990 43188 47534 53985 57584 71301 71980 86376 95068 107970 118835 142602 143960 172752 190136 215940 237670 285204 287920 356505 380272 431880 475340 570408 713010 863760 950680 1140816 1402253 1426020 1449787 1901360 2804506 2852040 2899574 4206759 4349361 5609012 5704080 5799148 7011265 7248935 8413518 8698722 11218024 11598296 14022530 14497870 16827036 17397444 21033795 21746805 22436048 23196592 28045060 28995740 33654072 34794888 42067590 43493610 56090120 57991480 67308144 69589776 84135180 85537433 86987220 112180240 115982960 168270360 171074866 173974440 256612299 336540720 342149732 347948880 427687165 513224598 684299464 855374330 1026449196 1283061495 1368598928 1710748660 2052898392 2566122990 3421497320 4105796784 5132245980 6842994640 10264491960 20528983920