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21380441600 = 29527192661
BaseRepresentation
bin10011111010010111…
…111010011000000000
32001012001001222010102
4103322113322120000
5322241343112400
613453321021532
71354553516660
oct237227723000
961161058112
1021380441600
11908177a251
1241883248a8
132029698c9b
14106b7861a0
1585204a9d5
hex4fa5fa600

21380441600 has 360 divisors, whose sum is σ = 63989730288. Its totient is φ = 6934118400.

The previous prime is 21380441597. The next prime is 21380441723. The reversal of 21380441600 is 614408312.

Adding to 21380441600 its reverse (614408312), we get a palindrome (21994849912).

It is a super-2 number, since 2×213804416002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 32345270 + ... + 32345930.

Almost surely, 221380441600 is an apocalyptic number.

21380441600 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 21380441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31994865144).

21380441600 is an abundant number, since it is smaller than the sum of its proper divisors (42609288688).

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

21380441600 is an equidigital number, since it uses as much as digits as its factorization.

21380441600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The spelling of 21380441600 in words is "twenty-one billion, three hundred eighty million, four hundred forty-one thousand, six hundred".