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20884818240 = 2632511131719157
BaseRepresentation
bin10011011100110101…
…010000100101000000
31222220111110200200200
4103130311100211000
5320233003140430
613332214045200
71336355011626
oct233465204500
958814420620
1020884818240
118947a32070
12406a349800
131c7aab7020
141021a0d516
15823799460
hex4dcd50940

20884818240 has 1344 divisors, whose sum is σ = 94660151040. Its totient is φ = 4140564480.

The previous prime is 20884818211. The next prime is 20884818247. The reversal of 20884818240 is 4281848802.

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 (20884818247) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 133024242 + ... + 133024398.

It is an arithmetic number, because the mean of its divisors is an integer number (70431660).

Almost surely, 220884818240 is an apocalyptic number.

20884818240 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 20884818240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47330075520).

20884818240 is an abundant number, since it is smaller than the sum of its proper divisors (73775332800).

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

20884818240 is a wasteful number, since it uses less digits than its factorization.

20884818240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 45.

The spelling of 20884818240 in words is "twenty billion, eight hundred eighty-four million, eight hundred eighteen thousand, two hundred forty".