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20918538080 = 2551121763559
BaseRepresentation
bin10011011110110101…
…111000111101100000
31222222211220211121122
4103132311320331200
5320320121204310
613335420511412
71340244432326
oct233665707540
958884824548
1020918538080
118964a73300
1240796ab568
131c84a921ab
1410262a9d16
1582670a555
hex4ded78f60

20918538080 has 144 divisors (see below), whose sum is σ = 57517477920. Its totient is φ = 7159173120.

The previous prime is 20918538073. The next prime is 20918538103. The reversal of 20918538080 is 8083581902.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 297341 + ... + 360899.

It is an arithmetic number, because the mean of its divisors is an integer number (399426930).

Almost surely, 220918538080 is an apocalyptic number.

20918538080 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 20918538080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28758738960).

20918538080 is an abundant number, since it is smaller than the sum of its proper divisors (36598939840).

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

20918538080 is a wasteful number, since it uses less digits than its factorization.

20918538080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63613 (or 63594 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 44.

The spelling of 20918538080 in words is "twenty billion, nine hundred eighteen million, five hundred thirty-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 32 34 40 44 55 68 80 85 88 110 121 136 160 170 176 187 220 242 272 340 352 374 440 484 544 605 680 748 880 935 968 1210 1360 1496 1760 1870 1936 2057 2420 2720 2992 3740 3872 4114 4840 5984 7480 8228 9680 10285 14960 16456 19360 20570 29920 32912 41140 63559 65824 82280 127118 164560 254236 317795 329120 508472 635590 699149 1016944 1080503 1271180 1398298 2033888 2161006 2542360 2796596 3495745 4322012 5084720 5402515 5593192 6991490 7690639 8644024 10169440 10805030 11186384 11885533 13982980 15381278 17288048 21610060 22372768 23771066 27965960 30762556 34576096 38453195 43220120 47542132 55931920 59427665 61525112 76906390 86440240 95084264 111863840 118855330 123050224 130740863 153812780 172880480 190168528 237710660 246100448 261481726 307625560 380337056 475421320 522963452 615251120 653704315 950842640 1045926904 1230502240 1307408630 1901685280 2091853808 2614817260 4183707616 5229634520 10459269040 20918538080