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21343524000 = 253533753907
BaseRepresentation
bin10011111000001011…
…000101010010100000
32001002110121100200220
4103320023011102200
5322202420232000
613445521443040
71353624650331
oct237013052240
961073540626
1021343524000
119062954537
124177aa0480
132021b41456
1410668d6288
1584dba71a0
hex4f82c54a0

21343524000 has 384 divisors, whose sum is σ = 73246747392. Its totient is φ = 5427302400.

The previous prime is 21343523939. The next prime is 21343524001. The reversal of 21343524000 is 42534312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (21343524001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23531547 + ... + 23532453.

It is an arithmetic number, because the mean of its divisors is an integer number (190746738).

Almost surely, 221343524000 is an apocalyptic number.

21343524000 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 21343524000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36623373696).

21343524000 is an abundant number, since it is smaller than the sum of its proper divisors (51903223392).

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

21343524000 is a wasteful number, since it uses less digits than its factorization.

21343524000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The spelling of 21343524000 in words is "twenty-one billion, three hundred forty-three million, five hundred twenty-four thousand".