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20143248384 = 2103723139293
BaseRepresentation
bin10010110000101000…
…011001010000000000
31220222211002001002110
4102300220121100000
5312223132422014
613130443415320
71312111533450
oct226050312000
956884061073
1020143248384
1185a737a716
123aa1b24540
131b902816ac
14d91333d60
157cd614d59
hex4b0a19400

20143248384 has 352 divisors, whose sum is σ = 64707471360. Its totient is φ = 5446729728.

The previous prime is 20143248383. The next prime is 20143248401. The reversal of 20143248384 is 48384234102.

It is a happy number.

It is a super-2 number, since 2×201432483842 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20143248383) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68748142 + ... + 68748434.

Almost surely, 220143248384 is an apocalyptic number.

20143248384 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 20143248384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32353735680).

20143248384 is an abundant number, since it is smaller than the sum of its proper divisors (44564222976).

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

20143248384 is a wasteful number, since it uses less digits than its factorization.

20143248384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The spelling of 20143248384 in words is "twenty billion, one hundred forty-three million, two hundred forty-eight thousand, three hundred eighty-four".