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20288496384 = 283413731031
BaseRepresentation
bin10010111001010010…
…011110001100000000
31221100221101101220000
4102321102132030000
5313022323341014
613153112520000
71315524242142
oct227122361400
957327341800
1020288496384
118671366692
123b226b0000
131bb43a8660
14da6742c92
157db256509
hex4b949e300

20288496384 has 360 divisors, whose sum is σ = 66106737312. Its totient is φ = 6151127040.

The previous prime is 20288496383. The next prime is 20288496391. The reversal of 20288496384 is 48369488202.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 20288496384.

It is not an unprimeable number, because it can be changed into a prime (20288496383) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19677949 + ... + 19678979.

Almost surely, 220288496384 is an apocalyptic number.

20288496384 is a gapful number since it is divisible by the number (24) 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 20288496384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33053368656).

20288496384 is an abundant number, since it is smaller than the sum of its proper divisors (45818240928).

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

20288496384 is a wasteful number, since it uses less digits than its factorization.

20288496384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 20288496384 in words is "twenty billion, two hundred eighty-eight million, four hundred ninety-six thousand, three hundred eighty-four".