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20034242800 = 24521113350249
BaseRepresentation
bin10010101010001000…
…100100100011110000
31220201012221222112121
4102222020210203300
5312012231232200
613111551204024
71306316153065
oct225210444360
956635858477
1020034242800
118550898160
123a71516614
131b73806b50
14d80a7ac6c
157c3c81e1a
hex4aa2248f0

20034242800 has 120 divisors (see below), whose sum is σ = 56547162000. Its totient is φ = 6724761600.

The previous prime is 20034242797. The next prime is 20034242843. The reversal of 20034242800 is 824243002.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117925 + ... + 232324.

It is an arithmetic number, because the mean of its divisors is an integer number (471226350).

Almost surely, 220034242800 is an apocalyptic number.

20034242800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20034242800 is an abundant number, since it is smaller than the sum of its proper divisors (36512919200).

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

20034242800 is a wasteful number, since it uses less digits than its factorization.

20034242800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350291 (or 350280 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 20034242800 its reverse (824243002), we get a palindrome (20858485802).

The spelling of 20034242800 in words is "twenty billion, thirty-four million, two hundred forty-two thousand, eight hundred".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 25 26 40 44 50 52 55 65 80 88 100 104 110 130 143 176 200 208 220 260 275 286 325 400 440 520 550 572 650 715 880 1040 1100 1144 1300 1430 2200 2288 2600 2860 3575 4400 5200 5720 7150 11440 14300 28600 57200 350249 700498 1400996 1751245 2801992 3502490 3852739 4553237 5603984 7004980 7705478 8756225 9106474 14009960 15410956 17512450 18212948 19263695 22766185 28019920 30821912 35024900 36425896 38527390 45532370 50085607 61643824 70049800 72851792 77054780 91064740 96318475 100171214 113830925 140099600 154109560 182129480 192636950 200342428 227661850 250428035 308219120 364258960 385273900 400684856 455323700 500856070 770547800 801369712 910647400 1001712140 1252140175 1541095600 1821294800 2003424280 2504280350 4006848560 5008560700 10017121400 20034242800