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20098976688 = 24337103173373
BaseRepresentation
bin10010101101111111…
…100000101110110000
31220212201202210202000
4102231333200232300
5312130314223223
613122222454000
71311033324450
oct225577405660
956781683660
1020098976688
11858439173a
123a8b134300
131b8405071b
14d894cbd60
157c97bc543
hex4adfe0bb0

20098976688 has 320 divisors, whose sum is σ = 67137607680. Its totient is φ = 5638781952.

The previous prime is 20098976687. The next prime is 20098976707. The reversal of 20098976688 is 88667989002.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (20098976687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53884470 + ... + 53884842.

It is an arithmetic number, because the mean of its divisors is an integer number (209805024).

Almost surely, 220098976688 is an apocalyptic number.

20098976688 is a gapful number since it is divisible by the number (28) 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 20098976688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33568803840).

20098976688 is an abundant number, since it is smaller than the sum of its proper divisors (47038630992).

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

20098976688 is a wasteful number, since it uses less digits than its factorization.

20098976688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 20098976688 in words is "twenty billion, ninety-eight million, nine hundred seventy-six thousand, six hundred eighty-eight".