Search a number
-
+
20539666400 = 2552119772389
BaseRepresentation
bin10011001000010000…
…100110111111100000
31222000110000011101012
4103020100212333200
5314031123311100
613234044200052
71324664166221
oct231020467740
958013004335
1020539666400
118790119410
123b92839028
131c2443a776
14dcbc45248
1580331c135
hex4c8426fe0

20539666400 has 144 divisors (see below), whose sum is σ = 54779775120. Its totient is φ = 7458201600.

The previous prime is 20539666369. The next prime is 20539666429. The reversal of 20539666400 is 466693502.

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, 8596406 + ... + 8598794.

It is an arithmetic number, because the mean of its divisors is an integer number (380415105).

Almost surely, 220539666400 is an apocalyptic number.

20539666400 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 20539666400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27389887560).

20539666400 is an abundant number, since it is smaller than the sum of its proper divisors (34240108720).

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

20539666400 is a wasteful number, since it uses less digits than its factorization.

20539666400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3397 (or 3384 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 41.

The spelling of 20539666400 in words is "twenty billion, five hundred thirty-nine million, six hundred sixty-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 352 400 440 550 800 880 977 1100 1760 1954 2200 2389 3908 4400 4778 4885 7816 8800 9556 9770 10747 11945 15632 19112 19540 21494 23890 24425 26279 31264 38224 39080 42988 47780 48850 52558 53735 59725 76448 78160 85976 95560 97700 105116 107470 119450 131395 156320 171952 191120 195400 210232 214940 238900 262790 268675 343904 382240 390800 420464 429880 477800 525580 537350 656975 781600 840928 859760 955600 1051160 1074700 1313950 1719520 1911200 2102320 2149400 2334053 2627900 4204640 4298800 4668106 5255800 8597600 9336212 10511600 11670265 18672424 21023200 23340530 25674583 37344848 46681060 51349166 58351325 74689696 93362120 102698332 116702650 128372915 186724240 205396664 233405300 256745830 373448480 410793328 466810600 513491660 641864575 821586656 933621200 1026983320 1283729150 1867242400 2053966640 2567458300 4107933280 5134916600 10269833200 20539666400