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21803418000 = 2435537131729
BaseRepresentation
bin10100010011100101…
…011100000110010000
32002021111222101200000
4110103211130012100
5324123133334000
614003310530000
71401210665220
oct242345340620
962244871600
1021803418000
119279508721
124285b06900
1320961c3690
1410aba0c080
1587924c000
hex51395c190

21803418000 has 1920 divisors, whose sum is σ = 106463185920. Its totient is φ = 4180377600.

The previous prime is 21803417981. The next prime is 21803418037. The reversal of 21803418000 is 81430812.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 751841986 + ... + 751842014.

It is an arithmetic number, because the mean of its divisors is an integer number (55449576).

Almost surely, 221803418000 is an apocalyptic number.

21803418000 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 21803418000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53231592960).

21803418000 is an abundant number, since it is smaller than the sum of its proper divisors (84659767920).

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

21803418000 is a wasteful number, since it uses less digits than its factorization.

21803418000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 21803418000 its reverse (81430812), we get a palindrome (21884848812).

The spelling of 21803418000 in words is "twenty-one billion, eight hundred three million, four hundred eighteen thousand".