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20846269400 = 23521159160603
BaseRepresentation
bin10011011010100010…
…001101001111011000
31222210210221012121212
4103122202031033120
5320143121110100
613324315522252
71335406236425
oct233242151730
958723835555
1020846269400
1189281a2820
124059459388
131c72b0ab68
14101a856d4c
158201d2635
hex4da88d3d8

20846269400 has 96 divisors (see below), whose sum is σ = 53770219200. Its totient is φ = 7451932800.

The previous prime is 20846269399. The next prime is 20846269421. The reversal of 20846269400 is 496264802.

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 23 ways as a sum of consecutive naturals, for example, 49499 + ... + 210101.

It is an arithmetic number, because the mean of its divisors is an integer number (560106450).

Almost surely, 220846269400 is an apocalyptic number.

20846269400 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 20846269400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26885109600).

20846269400 is an abundant number, since it is smaller than the sum of its proper divisors (32923949800).

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

20846269400 is a wasteful number, since it uses less digits than its factorization.

20846269400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160689 (or 160680 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 41.

The spelling of 20846269400 in words is "twenty billion, eight hundred forty-six million, two hundred sixty-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 59 88 100 110 118 200 220 236 275 295 440 472 550 590 649 1100 1180 1298 1475 2200 2360 2596 2950 3245 5192 5900 6490 11800 12980 16225 25960 32450 64900 129800 160603 321206 642412 803015 1284824 1606030 1766633 3212060 3533266 4015075 6424120 7066532 8030150 8833165 9475577 14133064 16060300 17666330 18951154 32120600 35332660 37902308 44165825 47377885 70665320 75804616 88331650 94755770 104231347 176663300 189511540 208462694 236889425 353326600 379023080 416925388 473778850 521156735 833850776 947557700 1042313470 1895115400 2084626940 2605783675 4169253880 5211567350 10423134700 20846269400