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2868323082240 = 213357211231127
BaseRepresentation
bin101001101111010101011…
…000001110000000000000
3101011012122100220210010010
4221233111120032000000
5333443311202112430
610033404530104520
7414141501631500
oct51572530160000
911135570823103
102868323082240
11a064a366a500
123a3a9771b140
1317a635401155
149cb82c33a00
154e92958acb0
hex29bd560e000

2868323082240 has 2016 divisors, whose sum is σ = 12209309908992. Its totient is φ = 572247244800.

The previous prime is 2868323082223. The next prime is 2868323082277. The reversal of 2868323082240 is 422803238682.

It is a super-2 number, since 2×28683230822402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2868323082240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22585221057 + ... + 22585221183.

It is an arithmetic number, because the mean of its divisors is an integer number (6056205312).

Almost surely, 22868323082240 is an apocalyptic number.

2868323082240 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 2868323082240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6104654954496).

2868323082240 is an abundant number, since it is smaller than the sum of its proper divisors (9340986826752).

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

2868323082240 is a wasteful number, since it uses less digits than its factorization.

2868323082240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 48.

The spelling of 2868323082240 in words is "two trillion, eight hundred sixty-eight billion, three hundred twenty-three million, eighty-two thousand, two hundred forty".