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21383066880 = 28355722361
BaseRepresentation
bin10011111010100001…
…111011010100000000
32001012020000100100000
4103322201323110000
5322243031120010
613453453200000
71354615032600
oct237241732400
961166010300
1021383066880
1190832026aa
124189190000
13202a0a7bc6
14106bc6ac00
158523b87c0
hex4fa87b500

21383066880 has 1296 divisors, whose sum is σ = 94656691584. Its totient is φ = 4598415360.

The previous prime is 21383066879. The next prime is 21383066921. The reversal of 21383066880 is 8866038312.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 350542050 + ... + 350542110.

Almost surely, 221383066880 is an apocalyptic number.

21383066880 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 21383066880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47328345792).

21383066880 is an abundant number, since it is smaller than the sum of its proper divisors (73273624704).

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

21383066880 is an equidigital number, since it uses as much as digits as its factorization.

21383066880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 21383066880 in words is "twenty-one billion, three hundred eighty-three million, sixty-six thousand, eight hundred eighty".