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20306500032 = 263731323719
BaseRepresentation
bin10010111010010111…
…001001100111000000
31221102012021002020210
4102322113021213000
5313041431000112
613154554434120
71316133255000
oct227227114700
957365232223
1020306500032
118680543035
123b28732940
131bb80401c0
14da8cac000
157dcb10b3c
hex4ba5c99c0

20306500032 has 224 divisors, whose sum is σ = 67478656000. Its totient is φ = 5355334656.

The previous prime is 20306500007. The next prime is 20306500063. The reversal of 20306500032 is 23000560302.

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

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 20306499981 and 20306500008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 844269 + ... + 867987.

It is an arithmetic number, because the mean of its divisors is an integer number (301244000).

Almost surely, 220306500032 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 20306500032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33739328000).

20306500032 is an abundant number, since it is smaller than the sum of its proper divisors (47172155968).

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

20306500032 is a wasteful number, since it uses less digits than its factorization.

20306500032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23768 (or 23744 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The spelling of 20306500032 in words is "twenty billion, three hundred six million, five hundred thousand, thirty-two".