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20306347488 = 2538741337
BaseRepresentation
bin10010111010010110…
…100100010111100000
31221102011222100000000
4102322112210113200
5313041411104423
613154551300000
71316132051160
oct227226442740
957364870000
1020306347488
118680449469
123b2867a600
131bb7cb893b
14da8c6c5a0
157dcad0843
hex4ba5a45e0

20306347488 has 432 divisors, whose sum is σ = 70410229344. Its totient is φ = 5643509760.

The previous prime is 20306347441. The next prime is 20306347507. The reversal of 20306347488 is 88474360302.

20306347488 is a `hidden beast` number, since 2 + 0 + 3 + 0 + 634 + 7 + 4 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 60256056 + ... + 60256392.

It is an arithmetic number, because the mean of its divisors is an integer number (162986642).

Almost surely, 220306347488 is an apocalyptic number.

20306347488 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 20306347488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35205114672).

20306347488 is an abundant number, since it is smaller than the sum of its proper divisors (50103881856).

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

20306347488 is an frugal number, since it uses more digits than its factorization.

20306347488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 20306347488 in words is "twenty billion, three hundred six million, three hundred forty-seven thousand, four hundred eighty-eight".