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21463200000 = 28325511271
BaseRepresentation
bin10011111111010011…
…100111000100000000
32001101210210112022100
4103333103213010000
5322424034400000
613505434510400
71356610122054
oct237723470400
961353715270
1021463200000
119114464920
1241abb95400
132040883a58
141078769c64
15859446a00
hex4ff4e7100

21463200000 has 648 divisors, whose sum is σ = 84692829312. Its totient is φ = 5184000000.

The previous prime is 21463199971. The next prime is 21463200001. The reversal of 21463200000 is 236412.

It is a happy number.

21463200000 is a `hidden beast` number, since 2 + 1 + 463 + 200 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21463200001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 79199865 + ... + 79200135.

Almost surely, 221463200000 is an apocalyptic number.

21463200000 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 21463200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42346414656).

21463200000 is an abundant number, since it is smaller than the sum of its proper divisors (63229629312).

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

21463200000 is an equidigital number, since it uses as much as digits as its factorization.

21463200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 21463200000 its reverse (236412), we get a palindrome (21463436412).

The spelling of 21463200000 in words is "twenty-one billion, four hundred sixty-three million, two hundred thousand".