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21432010400 = 255226790013
BaseRepresentation
bin10011111101011100…
…101000011010100000
32001022122002221012222
4103331130220122200
5322343043313100
613502402210212
71356051040223
oct237534503240
961278087188
1021432010400
1190a88a1699
1241a1653968
132037283478
14107456b5ba
15856835485
hex4fd7286a0

21432010400 has 36 divisors (see below), whose sum is σ = 52320897342. Its totient is φ = 8572803840.

The previous prime is 21432010373. The next prime is 21432010433. The reversal of 21432010400 is 401023412.

It can be written as a sum of positive squares in 3 ways, for example, as 20342746384 + 1089264016 = 142628^2 + 33004^2 .

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 5 ways as a sum of consecutive naturals, for example, 13394207 + ... + 13395806.

Almost surely, 221432010400 is an apocalyptic number.

21432010400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21432010400 is an abundant number, since it is smaller than the sum of its proper divisors (30888886942).

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

21432010400 is a wasteful number, since it uses less digits than its factorization.

21432010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26790033 (or 26790020 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 21432010400 its reverse (401023412), we get a palindrome (21833033812).

The spelling of 21432010400 in words is "twenty-one billion, four hundred thirty-two million, ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 26790013 53580026 107160052 133950065 214320104 267900130 428640208 535800260 669750325 857280416 1071600520 1339500650 2143201040 2679001300 4286402080 5358002600 10716005200 21432010400