Search a number
-
+
20481809920 = 295111355949
BaseRepresentation
bin10011000100110011…
…111001111000000000
31221212102010202012121
4103010303321320000
5313421320404140
613224220134024
71323362340355
oct230463717000
957772122177
1020481809920
1187604a1a40
123b77397314
131c15461370
14dc42a462c
157ed1de64a
hex4c4cf9e00

20481809920 has 160 divisors (see below), whose sum is σ = 57694744800. Its totient is φ = 6874890240.

The previous prime is 20481809911. The next prime is 20481809921. The reversal of 20481809920 is 2990818402.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20481809921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 338106 + ... + 394054.

It is an arithmetic number, because the mean of its divisors is an integer number (360592155).

Almost surely, 220481809920 is an apocalyptic number.

20481809920 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 20481809920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28847372400).

20481809920 is an abundant number, since it is smaller than the sum of its proper divisors (37212934880).

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

20481809920 is a wasteful number, since it uses less digits than its factorization.

20481809920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55996 (or 55980 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 43.

The spelling of 20481809920 in words is "twenty billion, four hundred eighty-one million, eight hundred nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 64 65 80 88 104 110 128 130 143 160 176 208 220 256 260 286 320 352 416 440 512 520 572 640 704 715 832 880 1040 1144 1280 1408 1430 1664 1760 2080 2288 2560 2816 2860 3328 3520 4160 4576 5632 5720 6656 7040 8320 9152 11440 14080 16640 18304 22880 28160 33280 36608 45760 55949 73216 91520 111898 183040 223796 279745 366080 447592 559490 615439 727337 895184 1118980 1230878 1454674 1790368 2237960 2461756 2909348 3077195 3580736 3636685 4475920 4923512 5818696 6154390 7161472 7273370 8000707 8951840 9847024 11637392 12308780 14322944 14546740 16001414 17903680 19694048 23274784 24617560 28645888 29093480 32002828 35807360 39388096 40003535 46549568 49235120 58186960 64005656 71614720 78776192 80007070 93099136 98470240 116373920 128011312 143229440 157552384 160014140 186198272 196940480 232747840 256022624 315104768 320028280 372396544 393880960 465495680 512045248 640056560 787761920 930991360 1024090496 1280113120 1575523840 1861982720 2048180992 2560226240 4096361984 5120452480 10240904960 20481809920