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21899316384 = 25331119911579
BaseRepresentation
bin10100011001010011…
…010000110010100000
32002112012102112112000
4110121103100302200
5324322211111014
614021014204000
71403454055311
oct243123206240
962465375460
1021899316384
119318658590
1242b2053600
1320b002c29a
1410ba652608
15882891509
hex5194d0ca0

21899316384 has 192 divisors, whose sum is σ = 70035840000. Its totient is φ = 6602238720.

The previous prime is 21899316379. The next prime is 21899316403. The reversal of 21899316384 is 48361399812.

It is a super-3 number, since 3×218993163843 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 21899316384.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1885507 + ... + 1897085.

It is an arithmetic number, because the mean of its divisors is an integer number (364770000).

Almost surely, 221899316384 is an apocalyptic number.

21899316384 is a gapful number since it is divisible by the number (24) 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 21899316384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35017920000).

21899316384 is an abundant number, since it is smaller than the sum of its proper divisors (48136523616).

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

21899316384 is a wasteful number, since it uses less digits than its factorization.

21899316384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11808 (or 11794 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The spelling of 21899316384 in words is "twenty-one billion, eight hundred ninety-nine million, three hundred sixteen thousand, three hundred eighty-four".