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20132432320 = 2657111362851
BaseRepresentation
bin10010101111111111…
…001000100111000000
31220222001201112020111
4102233333020213000
5312212400313240
613125415521104
71311620564650
oct225777104700
956861645214
1020132432320
1185a1262420
123a9a389194
131b8ac65560
14d8db1a360
157cc6ca1ea
hex4affc89c0

20132432320 has 224 divisors, whose sum is σ = 64368493056. Its totient is φ = 5792256000.

The previous prime is 20132432279. The next prime is 20132432323. The reversal of 20132432320 is 2323423102.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×201324323202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 20132432291 and 20132432300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20132432323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 288895 + ... + 351745.

It is an arithmetic number, because the mean of its divisors is an integer number (287359344).

Almost surely, 220132432320 is an apocalyptic number.

20132432320 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 20132432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32184246528).

20132432320 is an abundant number, since it is smaller than the sum of its proper divisors (44236060736).

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

20132432320 is a wasteful number, since it uses less digits than its factorization.

20132432320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62899 (or 62889 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 20132432320 its reverse (2323423102), we get a palindrome (22455855422).

The spelling of 20132432320 in words is "twenty billion, one hundred thirty-two million, four hundred thirty-two thousand, three hundred twenty".