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21232439424 = 273277933329
BaseRepresentation
bin10011110001100011…
…010101000010000000
32000210201120200022100
4103301203111002000
5321441001030144
613430512510400
71351105520520
oct236143250200
960721520270
1021232439424
119006181aa9
12414684b400
132004b19531
141055c5b680
15844063269
hex4f18d5080

21232439424 has 192 divisors, whose sum is σ = 70712928000. Its totient is φ = 5989441536.

The previous prime is 21232439419. The next prime is 21232439429. The reversal of 21232439424 is 42493423212.

21232439424 is a `hidden beast` number, since 212 + 3 + 2 + 439 + 4 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (21232439419) and next prime (21232439429).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (21232439429) 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 23 ways as a sum of consecutive naturals, for example, 620392 + ... + 653720.

It is an arithmetic number, because the mean of its divisors is an integer number (368296500).

Almost surely, 221232439424 is an apocalyptic number.

21232439424 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 21232439424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35356464000).

21232439424 is an abundant number, since it is smaller than the sum of its proper divisors (49480488576).

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

21232439424 is a wasteful number, since it uses less digits than its factorization.

21232439424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33435 (or 33420 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 21232439424 in words is "twenty-one billion, two hundred thirty-two million, four hundred thirty-nine thousand, four hundred twenty-four".