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20052425520 = 24325151184441
BaseRepresentation
bin10010101011001101…
…111011101100110000
31220202111011202112200
4102223031323230300
5312031410104040
613113441023200
71306626542661
oct225315735460
956674152480
1020052425520
1185600870a6
123a77624b00
131b7750205a
14d83251368
157c5674630
hex4ab37bb30

20052425520 has 120 divisors (see below), whose sum is σ = 67789074912. Its totient is φ = 5311872000.

The previous prime is 20052425489. The next prime is 20052425527. The reversal of 20052425520 is 2552425002.

20052425520 is a `hidden beast` number, since 20 + 0 + 52 + 42 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (20052425527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16500 + ... + 200940.

Almost surely, 220052425520 is an apocalyptic number.

20052425520 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 20052425520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33894537456).

20052425520 is an abundant number, since it is smaller than the sum of its proper divisors (47736649392).

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

20052425520 is a wasteful number, since it uses less digits than its factorization.

20052425520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184611 (or 184602 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The spelling of 20052425520 in words is "twenty billion, fifty-two million, four hundred twenty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 151 180 240 302 360 453 604 720 755 906 1208 1359 1510 1812 2265 2416 2718 3020 3624 4530 5436 6040 6795 7248 9060 10872 12080 13590 18120 21744 27180 36240 54360 108720 184441 368882 553323 737764 922205 1106646 1475528 1659969 1844410 2213292 2766615 2951056 3319938 3688820 4426584 5533230 6639876 7377640 8299845 8853168 11066460 13279752 14755280 16599690 22132920 26559504 27850591 33199380 44265840 55701182 66398760 83551773 111402364 132797520 139252955 167103546 222804728 250655319 278505910 334207092 417758865 445609456 501310638 557011820 668414184 835517730 1002621276 1114023640 1253276595 1336828368 1671035460 2005242552 2228047280 2506553190 3342070920 4010485104 5013106380 6684141840 10026212760 20052425520