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20425706200 = 23521096011559
BaseRepresentation
bin10011000001011101…
…111000101011011000
31221201111120101101001
4103001131320223120
5313312440044300
613214453434344
71322111431564
oct230135705330
957644511331
1020425706200
118731862429
123b6063b9b4
131c069499b3
14dbaa5c6a4
157e830b16a
hex4c1778ad8

20425706200 has 96 divisors (see below), whose sum is σ = 48035988000. Its totient is φ = 8076672000.

The previous prime is 20425706179. The next prime is 20425706201. The reversal of 20425706200 is 260752402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20425706201) by changing a digit.

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, 13101021 + ... + 13102579.

It is an arithmetic number, because the mean of its divisors is an integer number (500374875).

Almost surely, 220425706200 is an apocalyptic number.

20425706200 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 20425706200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24017994000).

20425706200 is an abundant number, since it is smaller than the sum of its proper divisors (27610281800).

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

20425706200 is a wasteful number, since it uses less digits than its factorization.

20425706200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2285 (or 2276 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The spelling of 20425706200 in words is "twenty billion, four hundred twenty-five million, seven hundred six thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 109 200 218 436 545 601 872 1090 1202 1559 2180 2404 2725 3005 3118 4360 4808 5450 6010 6236 7795 10900 12020 12472 15025 15590 21800 24040 30050 31180 38975 60100 62360 65509 77950 120200 131018 155900 169931 262036 311800 327545 339862 524072 655090 679724 849655 936959 1310180 1359448 1637725 1699310 1873918 2620360 3275450 3398620 3747836 4248275 4684795 6550900 6797240 7495672 8496550 9369590 13101800 16993100 18739180 23423975 33986200 37478360 46847950 93695900 102128531 187391800 204257062 408514124 510642655 817028248 1021285310 2042570620 2553213275 4085141240 5106426550 10212853100 20425706200