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20727934720 = 28567263919
BaseRepresentation
bin10011010011011110…
…110010111100000000
31222111120021011221221
4103103132302330000
5314422322402340
613304451324424
71332441352363
oct232336627400
958446234857
1020727934720
118877419169
1240258b0714
131c54447c3c
141008c520da
15814b0a44a
hex4d37b2f00

20727934720 has 144 divisors (see below), whose sum is σ = 50637565440. Its totient is φ = 8127516672.

The previous prime is 20727934681. The next prime is 20727934739. The reversal of 20727934720 is 2743972702.

It is a congruent number.

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, 22554421 + ... + 22555339.

It is an arithmetic number, because the mean of its divisors is an integer number (351649760).

Almost surely, 220727934720 is an apocalyptic number.

20727934720 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 20727934720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25318782720).

20727934720 is an abundant number, since it is smaller than the sum of its proper divisors (29909630720).

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

20727934720 is an equidigital number, since it uses as much as digits as its factorization.

20727934720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 43.

The spelling of 20727934720 in words is "twenty billion, seven hundred twenty-seven million, nine hundred thirty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 67 80 128 134 160 256 263 268 320 335 526 536 640 670 919 1052 1072 1280 1315 1340 1838 2104 2144 2630 2680 3676 4208 4288 4595 5260 5360 7352 8416 8576 9190 10520 10720 14704 16832 17152 17621 18380 21040 21440 29408 33664 35242 36760 42080 42880 58816 61573 67328 70484 73520 84160 85760 88105 117632 123146 140968 147040 168320 176210 235264 241697 246292 281936 294080 307865 336640 352420 483394 492584 563872 588160 615730 704840 966788 985168 1127744 1176320 1208485 1231460 1409680 1933576 1970336 2255488 2416970 2462920 2819360 3867152 3940672 4510976 4833940 4925840 5638720 7734304 7881344 9667880 9851680 11277440 15468608 15762688 16193699 19335760 19703360 22554880 30937216 32387398 38671520 39406720 61874432 64774796 77343040 78813440 80968495 129549592 154686080 161936990 259099184 309372160 323873980 518198368 647747960 1036396736 1295495920 2072793472 2590991840 4145586944 5181983680 10363967360 20727934720