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20032650400 = 25527217231307
BaseRepresentation
bin10010101010000010…
…011111110010100000
31220201002222002011211
4102222002133302200
5312011324303100
613111453115504
71306266501400
oct225202376240
956632862154
1020032650400
11854a9aa824
123a70a88b94
131b7339a0b9
14d80784800
157c3a6a1ba
hex4aa09fca0

20032650400 has 432 divisors, whose sum is σ = 62902598976. Its totient is φ = 6178529280.

The previous prime is 20032650367. The next prime is 20032650403. The reversal of 20032650400 is 405623002.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20032650403) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15326547 + ... + 15327853.

It is an arithmetic number, because the mean of its divisors is an integer number (145607868).

Almost surely, 220032650400 is an apocalyptic number.

20032650400 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 20032650400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31451299488).

20032650400 is an abundant number, since it is smaller than the sum of its proper divisors (42869948576).

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

20032650400 is a wasteful number, since it uses less digits than its factorization.

20032650400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The spelling of 20032650400 in words is "twenty billion, thirty-two million, six hundred fifty thousand, four hundred".