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20527432200 = 2332521123072
BaseRepresentation
bin10011000111100001…
…111100001000001000
31221222120222121012200
4103013201330020020
5314020010312300
613232530040200
71324455203052
oct230741741010
957876877180
1020527432200
118784222700
123b8a719060
131c21a45cb2
14dca37c8d2
15802202200
hex4c787c208

20527432200 has 324 divisors, whose sum is σ = 76022409645. Its totient is φ = 4960137600.

The previous prime is 20527432183. The next prime is 20527432229. The reversal of 20527432200 is 223472502.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

20527432200 is a `hidden beast` number, since 2 + 0 + 5 + 27 + 432 + 200 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20116883556 + 410548644 = 141834^2 + 20262^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=101310.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 66864447 + ... + 66864753.

Almost surely, 220527432200 is an apocalyptic number.

20527432200 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 20527432200

20527432200 is an abundant number, since it is smaller than the sum of its proper divisors (55494977445).

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

20527432200 is a wasteful number, since it uses less digits than its factorization.

20527432200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The spelling of 20527432200 in words is "twenty billion, five hundred twenty-seven million, four hundred thirty-two thousand, two hundred".