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20431843600 = 24527210212
BaseRepresentation
bin10011000001110101…
…010011000100010000
31221201221010012022011
4103001311103010100
5313321022443400
613215233152304
71322214543100
oct230165230420
957657105264
1020431843600
118735274563
123b626bb694
131c07cb83ac
14dbb7b9200
157e8b1e8ba
hex4c1d53110

20431843600 has 135 divisors (see below), whose sum is σ = 57157772751. Its totient is φ = 6998342400.

The previous prime is 20431843589. The next prime is 20431843603. The reversal of 20431843600 is 634813402.

The square root of 20431843600 is 142940.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 71978256 + 20359865344 = 8484^2 + 142688^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20431843603) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 20011090 + ... + 20012110.

Almost surely, 220431843600 is an apocalyptic number.

20431843600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20431843600 is the 142940-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20431843600

20431843600 is an abundant number, since it is smaller than the sum of its proper divisors (36725929151).

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

20431843600 is an equidigital number, since it uses as much as digits as its factorization.

20431843600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2074 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The spelling of 20431843600 in words is "twenty billion, four hundred thirty-one million, eight hundred forty-three thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 140 175 196 200 245 280 350 392 400 490 560 700 784 980 1021 1225 1400 1960 2042 2450 2800 3920 4084 4900 5105 7147 8168 9800 10210 14294 16336 19600 20420 25525 28588 35735 40840 50029 51050 57176 71470 81680 100058 102100 114352 142940 178675 200116 204200 250145 285880 357350 400232 408400 500290 571760 714700 800464 1000580 1042441 1250725 1429400 2001160 2084882 2501450 2858800 4002320 4169764 5002900 5212205 7297087 8339528 10005800 10424410 14594174 16679056 20011600 20848820 26061025 29188348 36485435 41697640 51079609 52122050 58376696 72970870 83395280 102159218 104244100 116753392 145941740 182427175 204318436 208488200 255398045 291883480 364854350 408636872 416976400 510796090 583766960 729708700 817273744 1021592180 1276990225 1459417400 2043184360 2553980450 2918834800 4086368720 5107960900 10215921800 20431843600