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2243499116760 = 23345111731711681
BaseRepresentation
bin100000101001011010111…
…101111100100011011000
321221110212022101121210000
4200221122331330203120
5243224141233214020
64434352124053000
7321041666563326
oct40513275744330
97843768347700
102243499116760
1179550a844260
1230297b394160
1313373a853395
147a82bb4ad16
153d55a21e090
hex20a5af7c8d8

2243499116760 has 640 divisors, whose sum is σ = 8738279922240. Its totient is φ = 510227251200.

The previous prime is 2243499116759. The next prime is 2243499116791. The reversal of 2243499116760 is 676119943422.

2243499116760 is a `hidden beast` number, since 2 + 2 + 434 + 9 + 91 + 1 + 67 + 60 = 666.

2243499116760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22434991167602 (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 junction number, because it is equal to n+sod(n) for n = 2243499116697 and 2243499116706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 192058120 + ... + 192069800.

Almost surely, 22243499116760 is an apocalyptic number.

2243499116760 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 2243499116760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4369139961120).

2243499116760 is an abundant number, since it is smaller than the sum of its proper divisors (6494780805480).

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

2243499116760 is a wasteful number, since it uses less digits than its factorization.

2243499116760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12049 (or 12036 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 2243499116760 in words is "two trillion, two hundred forty-three billion, four hundred ninety-nine million, one hundred sixteen thousand, seven hundred sixty".