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20396244960 = 253357133307
BaseRepresentation
bin10010111111101101…
…011111111111100000
31221122110010121011000
4102333231133333200
5313232414314320
613211522152000
71321303136010
oct227755377740
957573117130
1020396244960
11871716a7a3
123b527b2600
131c00803000
14db6b8dc40
157e593bc90
hex4bfb5ffe0

20396244960 has 768 divisors, whose sum is σ = 88668518400. Its totient is φ = 4289366016.

The previous prime is 20396244941. The next prime is 20396244961. The reversal of 20396244960 is 6944269302.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20396244961) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 66437127 + ... + 66437433.

It is an arithmetic number, because the mean of its divisors is an integer number (115453800).

Almost surely, 220396244960 is an apocalyptic number.

20396244960 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 20396244960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44334259200).

20396244960 is an abundant number, since it is smaller than the sum of its proper divisors (68272273440).

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

20396244960 is a wasteful number, since it uses less digits than its factorization.

20396244960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

It can be divided in two parts, 20396 and 244960, that added together give a triangular number (265356 = T728).

The spelling of 20396244960 in words is "twenty billion, three hundred ninety-six million, two hundred forty-four thousand, nine hundred sixty".