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20086498880 = 265719334639
BaseRepresentation
bin10010101101001111…
…111010011001000000
31220211212021212101222
4102231033322121000
5312114120431010
613121055214212
71310522265140
oct225517723100
956755255358
1020086498880
1185783399a8
123a86b17368
131b815a20c6
14d879a0920
157c8655355
hex4ad3fa640

20086498880 has 112 divisors (see below), whose sum is σ = 54704040960. Its totient is φ = 6881753088.

The previous prime is 20086498879. The next prime is 20086498933. The reversal of 20086498880 is 8889468002.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4327601 + ... + 4332239.

Almost surely, 220086498880 is an apocalyptic number.

20086498880 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 20086498880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27352020480).

20086498880 is an abundant number, since it is smaller than the sum of its proper divisors (34617542080).

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

20086498880 is a wasteful number, since it uses less digits than its factorization.

20086498880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6596 (or 6586 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 53.

The spelling of 20086498880 in words is "twenty billion, eighty-six million, four hundred ninety-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 1933 2240 3866 4639 7732 9278 9665 13531 15464 18556 19330 23195 27062 30928 32473 37112 38660 46390 54124 61856 64946 67655 74224 77320 92780 108248 123712 129892 135310 148448 154640 162365 185560 216496 259784 270620 296896 309280 324730 371120 432992 519568 541240 618560 649460 742240 865984 1039136 1082480 1298920 1484480 2078272 2164960 2597840 4329920 5195680 8967187 10391360 17934374 35868748 44835935 62770309 71737496 89671870 125540618 143474992 179343740 251081236 286949984 313851545 358687480 502162472 573899968 627703090 717374960 1004324944 1255406180 1434749920 2008649888 2510812360 2869499840 4017299776 5021624720 10043249440 20086498880