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2868080728320 = 283351937971217
BaseRepresentation
bin101001101111000110111…
…011101101100100000000
3101011012000110212221001000
4221233012323231210000
5333442312131301240
610033324511412000
7414132466643343
oct51570673554400
911135013787030
102868080728320
11a06389889405
123a3a2a524000
1317a5c7137a72
149cb5c98845a
154e913167430
hex29bc6eed900

2868080728320 has 1152 divisors, whose sum is σ = 11125488729600. Its totient is φ = 697143656448.

The previous prime is 2868080728313. The next prime is 2868080728321. The reversal of 2868080728320 is 238270808682.

It is a happy number.

2868080728320 is a `hidden beast` number, since 286 + 8 + 0 + 80 + 7 + 283 + 2 + 0 = 666.

2868080728320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2868080728321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2356680352 + ... + 2356681568.

It is an arithmetic number, because the mean of its divisors is an integer number (9657542300).

Almost surely, 22868080728320 is an apocalyptic number.

2868080728320 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 2868080728320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5562744364800).

2868080728320 is an abundant number, since it is smaller than the sum of its proper divisors (8257408001280).

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

2868080728320 is a wasteful number, since it uses less digits than its factorization.

2868080728320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 2868080728320 in words is "two trillion, eight hundred sixty-eight billion, eighty million, seven hundred twenty-eight thousand, three hundred twenty".