Search a number
-
+
21490430080 = 275731271571
BaseRepresentation
bin10100000000111011…
…011111000010000000
32001110201000221221211
4110000323133002000
5323003022230310
613512250255504
71360360433050
oct240073370200
961421027854
1021490430080
119128873219
1241b9127594
1320463c9022
14107c217560
1585ba24c8a
hex500edf080

21490430080 has 256 divisors, whose sum is σ = 60939141120. Its totient is φ = 7091712000.

The previous prime is 21490430057. The next prime is 21490430083. The reversal of 21490430080 is 8003409412.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (21490430083) by changing a digit.

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, 37636195 + ... + 37636765.

It is an arithmetic number, because the mean of its divisors is an integer number (238043520).

Almost surely, 221490430080 is an apocalyptic number.

21490430080 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 21490430080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30469570560).

21490430080 is an abundant number, since it is smaller than the sum of its proper divisors (39448711040).

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

21490430080 is a wasteful number, since it uses less digits than its factorization.

21490430080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

Adding to 21490430080 its reverse (8003409412), we get a palindrome (29493839492).

The spelling of 21490430080 in words is "twenty-one billion, four hundred ninety million, four hundred thirty thousand, eighty".