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20387712960 = 263453125373
BaseRepresentation
bin10010111111001100…
…111100111111000000
31221121212002010110000
4102333030330333000
5313223223303320
613211015240000
71321140462246
oct227714747700
957555063400
1020387712960
11871237255a
123b4b979000
131bcbb066a4
14db59ac796
157e4d03c90
hex4bf33cfc0

20387712960 has 280 divisors, whose sum is σ = 74865073536. Its totient is φ = 5261137920.

The previous prime is 20387712959. The next prime is 20387712973. The reversal of 20387712960 is 6921778302.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 790834 + ... + 816206.

Almost surely, 220387712960 is an apocalyptic number.

20387712960 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 20387712960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37432536768).

20387712960 is an abundant number, since it is smaller than the sum of its proper divisors (54477360576).

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

20387712960 is a wasteful number, since it uses less digits than its factorization.

20387712960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25433 (or 25414 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 20387712960 in words is "twenty billion, three hundred eighty-seven million, seven hundred twelve thousand, nine hundred sixty".