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20349161360 = 24511314759269
BaseRepresentation
bin10010111100111001…
…111000111110010000
31221112011112111120222
4102330321320332100
5313133341130420
613203121052212
71320162006023
oct227471707620
957464474528
1020349161360
1186a2631130
123b3aa87068
131bc3b291a8
14db08151ba
157e173b225
hex4bce78f90

20349161360 has 320 divisors, whose sum is σ = 55539302400. Its totient is φ = 6864230400.

The previous prime is 20349161341. The next prime is 20349161383. The reversal of 20349161360 is 6316194302.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 20349161360.

It is an unprimeable number.

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, 75647306 + ... + 75647574.

It is an arithmetic number, because the mean of its divisors is an integer number (173560320).

Almost surely, 220349161360 is an apocalyptic number.

20349161360 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 20349161360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27769651200).

20349161360 is an abundant number, since it is smaller than the sum of its proper divisors (35190141040).

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

20349161360 is a wasteful number, since it uses less digits than its factorization.

20349161360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 35.

The spelling of 20349161360 in words is "twenty billion, three hundred forty-nine million, one hundred sixty-one thousand, three hundred sixty".