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20315544000 = 2635317229101
BaseRepresentation
bin10010111010111001…
…101001100111000000
31221102211021120020120
4102322321221213000
5313101234402000
613155520340240
71316303163153
oct227271514700
957384246216
1020315544000
11868565a994
123b2b774680
131bb9b8886b
14daa183c9a
157dd7ea6a0
hex4bae699c0

20315544000 has 672 divisors, whose sum is σ = 74447156160. Its totient is φ = 4874240000.

The previous prime is 20315543977. The next prime is 20315544013. The reversal of 20315544000 is 44551302.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 201143950 + ... + 201144050.

Almost surely, 220315544000 is an apocalyptic number.

20315544000 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 20315544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37223578080).

20315544000 is an abundant number, since it is smaller than the sum of its proper divisors (54131612160).

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

20315544000 is a wasteful number, since it uses less digits than its factorization.

20315544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The spelling of 20315544000 in words is "twenty billion, three hundred fifteen million, five hundred forty-four thousand".