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20386548000 = 2532537313127
BaseRepresentation
bin10010111111001000…
…100000100100100000
31221121202212221102100
4102333020200210200
5313222424014000
613210534250400
71321124541000
oct227710404440
957552787370
1020386548000
118711747285
123b4b4b6a00
131bcb7b9370
14db5788000
157e4b73a00
hex4bf220920

20386548000 has 1152 divisors, whose sum is σ = 91581235200. Its totient is φ = 4267468800.

The previous prime is 20386547963. The next prime is 20386548023. The reversal of 20386548000 is 84568302.

It is a super-2 number, since 2×203865480002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 160523937 + ... + 160524063.

It is an arithmetic number, because the mean of its divisors is an integer number (79497600).

Almost surely, 220386548000 is an apocalyptic number.

20386548000 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 20386548000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45790617600).

20386548000 is an abundant number, since it is smaller than the sum of its proper divisors (71194687200).

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

20386548000 is a wasteful number, since it uses less digits than its factorization.

20386548000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 20386548000 in words is "twenty billion, three hundred eighty-six million, five hundred forty-eight thousand".