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20574277984 = 2513195944119
BaseRepresentation
bin10011001010010100…
…101001000101100000
31222002212010121112201
4103022110221011200
5314114003343414
613241322102544
71325564322511
oct231224510540
958085117481
1020574277984
1187a8709627
123ba234aa54
131c2b6687b0
14dd2694a08
158063a7574
hex4ca529160

20574277984 has 96 divisors (see below), whose sum is σ = 46696608000. Its totient is φ = 8843364864.

The previous prime is 20574277963. The next prime is 20574278089. The reversal of 20574277984 is 48977247502.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 444277 + ... + 488395.

It is an arithmetic number, because the mean of its divisors is an integer number (486423000).

Almost surely, 220574277984 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 20574277984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23348304000).

20574277984 is an abundant number, since it is smaller than the sum of its proper divisors (26122330016).

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

20574277984 is a wasteful number, since it uses less digits than its factorization.

20574277984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44220 (or 44212 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 55.

The spelling of 20574277984 in words is "twenty billion, five hundred seventy-four million, two hundred seventy-seven thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 59 76 104 118 152 208 236 247 304 416 472 494 608 767 944 988 1121 1534 1888 1976 2242 3068 3952 4484 6136 7904 8968 12272 14573 17936 24544 29146 35872 44119 58292 88238 116584 176476 233168 352952 466336 573547 705904 838261 1147094 1411808 1676522 2294188 2603021 3353044 4588376 5206042 6706088 9176752 10412084 10897393 13412176 18353504 20824168 21794786 26824352 33839273 41648336 43589572 49457399 67678546 83296672 87179144 98914798 135357092 174358288 197829596 270714184 348716576 395659192 541428368 642946187 791318384 1082856736 1285892374 1582636768 2571784748 5143569496 10287138992 20574277984