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2112288796800 = 2733527133753137
BaseRepresentation
bin11110101111001110001…
…110010011000010000000
321110221012001000202022000
4132233032032103002000
5234101431412444200
64254212211344000
7305415325346340
oct36571616230200
97427161022260
102112288796800
117448a8a5a8a6
122a14612b2000
13124259cb2cc0
1474341a26d20
1539e2aed2300
hex1ebce393080

2112288796800 has 3072 divisors, whose sum is σ = 10028508134400. Its totient is φ = 422337576960.

The previous prime is 2112288796789. The next prime is 2112288796801. The reversal of 2112288796800 is 86978822112.

2112288796800 is a `hidden beast` number, since 211 + 2 + 288 + 79 + 6 + 80 + 0 = 666.

It is a super-2 number, since 2×21122887968002 (a number of 25 digits) contains 22 as substring.

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 (2112288796801) 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 383 ways as a sum of consecutive naturals, for example, 15418166332 + ... + 15418166468.

It is an arithmetic number, because the mean of its divisors is an integer number (3264488325).

Almost surely, 22112288796800 is an apocalyptic number.

2112288796800 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 2112288796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5014254067200).

2112288796800 is an abundant number, since it is smaller than the sum of its proper divisors (7916219337600).

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

2112288796800 is a wasteful number, since it uses less digits than its factorization.

2112288796800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 2112288796800 in words is "two trillion, one hundred twelve billion, two hundred eighty-eight million, seven hundred ninety-six thousand, eight hundred".