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21200534352 = 243417971991
BaseRepresentation
bin10011101111101001…
…100111101101010000
32000201111112201210000
4103233221213231100
5321404314044402
613423413010000
71350240366024
oct235751475520
960644481700
1021200534352
118a9a170278
124138023900
131ccb3283aa
141051914384
1584135ec1c
hex4efa67b50

21200534352 has 200 divisors, whose sum is σ = 65102476032. Its totient is φ = 6637593600.

The previous prime is 21200534317. The next prime is 21200534359. The reversal of 21200534352 is 25343500212.

It is a happy number.

21200534352 is a `hidden beast` number, since 2 + 120 + 0 + 534 + 3 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21200534359) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21392577 + ... + 21393567.

Almost surely, 221200534352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21200534352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32551238016).

21200534352 is an abundant number, since it is smaller than the sum of its proper divisors (43901941680).

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

21200534352 is a wasteful number, since it uses less digits than its factorization.

21200534352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1999 (or 1984 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 21200534352 in words is "twenty-one billion, two hundred million, five hundred thirty-four thousand, three hundred fifty-two".