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2823363444096 = 273413238111123
BaseRepresentation
bin101001000101011101100…
…100110011110110000000
3100222220121001102112010000
4221011131210303312000
5332224222020202341
610001011341040000
7410660402206326
oct51053544636600
910886531375100
102823363444096
11999422071968
1239722a856000
1317631b982480
149a919aadd16
154d6974718b6
hex2915d933d80

2823363444096 has 640 divisors, whose sum is σ = 9462092048640. Its totient is φ = 829192826880.

The previous prime is 2823363444091. The next prime is 2823363444137. The reversal of 2823363444096 is 6904443633282.

2823363444096 is a `hidden beast` number, since 2 + 82 + 3 + 3 + 6 + 34 + 440 + 96 = 666.

It is a super-2 number, since 2×28233634440962 (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2823363444091) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 2514125391 + ... + 2514126513.

It is an arithmetic number, because the mean of its divisors is an integer number (14784518826).

Almost surely, 22823363444096 is an apocalyptic number.

2823363444096 is a gapful number since it is divisible by the number (26) 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 2823363444096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4731046024320).

2823363444096 is an abundant number, since it is smaller than the sum of its proper divisors (6638728604544).

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

2823363444096 is a wasteful number, since it uses less digits than its factorization.

2823363444096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1996 (or 1975 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 54.

The spelling of 2823363444096 in words is "two trillion, eight hundred twenty-three billion, three hundred sixty-three million, four hundred forty-four thousand, ninety-six".