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2285811369984 = 21131729537411
BaseRepresentation
bin100001010000110100111…
…110011000100000000000
322002112002010100210101210
4201100310332120200000
5244422320202314414
64510030502330120
7324100352031222
oct41206476304000
98075063323353
102285811369984
11801452a2237a
1230b009729940
1313772197b0cc
147c8c3456412
153e6d4be7e59
hex21434f98800

2285811369984 has 192 divisors, whose sum is σ = 6455535952320. Its totient is φ = 716777717760.

The previous prime is 2285811369983. The next prime is 2285811370009. The reversal of 2285811369984 is 4899631185822.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (2285811369983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 308431239 + ... + 308438649.

It is an arithmetic number, because the mean of its divisors is an integer number (33622583085).

Almost surely, 22285811369984 is an apocalyptic number.

2285811369984 is a gapful number since it is divisible by the number (24) 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 2285811369984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3227767976160).

2285811369984 is an abundant number, since it is smaller than the sum of its proper divisors (4169724582336).

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

2285811369984 is a wasteful number, since it uses less digits than its factorization.

2285811369984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10406 (or 10386 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 66.

The spelling of 2285811369984 in words is "two trillion, two hundred eighty-five billion, eight hundred eleven million, three hundred sixty-nine thousand, nine hundred eighty-four".