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21432338532 = 22351117611933
BaseRepresentation
bin10011111101011101…
…111000100001100100
32001022122201121100000
4103331131320201210
5322343134313112
613502413221300
71356053604663
oct237535704144
961278647300
1021432338532
1190a8aa6180
1241a1791830
132037369927
141074614dda
1585689c7dc
hex4fd778864

21432338532 has 288 divisors, whose sum is σ = 65993526144. Its totient is φ = 6009292800.

The previous prime is 21432338507. The next prime is 21432338539. The reversal of 21432338532 is 23583323412.

21432338532 is a `hidden beast` number, since 214 + 32 + 3 + 385 + 32 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (21432338539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11086638 + ... + 11088570.

It is an arithmetic number, because the mean of its divisors is an integer number (229144188).

Almost surely, 221432338532 is an apocalyptic number.

21432338532 is a gapful number since it is divisible by the number (22) 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 21432338532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32996763072).

21432338532 is an abundant number, since it is smaller than the sum of its proper divisors (44561187612).

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

21432338532 is a wasteful number, since it uses less digits than its factorization.

21432338532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2041 (or 2027 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The spelling of 21432338532 in words is "twenty-one billion, four hundred thirty-two million, three hundred thirty-eight thousand, five hundred thirty-two".