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2260074150288 = 2432531096774013
BaseRepresentation
bin100000111000110110111…
…010101011100110010000
322000001122110020120021200
4200320312322223212100
5244012112440302123
64450132544351200
7322166513210253
oct40706672534620
98001573216250
102260074150288
117a1545a35279
12306026315500
1313517c7a3326
147b56120709a
153dbca450143
hex20e36eab990

2260074150288 has 240 divisors, whose sum is σ = 6514761979440. Its totient is φ = 731098607616.

The previous prime is 2260074150263. The next prime is 2260074150289. The reversal of 2260074150288 is 8820514700622.

2260074150288 is a `hidden beast` number, since 2 + 2 + 60 + 0 + 7 + 4 + 1 + 502 + 88 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1063439437824 + 1196634712464 = 1031232^2 + 1093908^2 .

It is not an unprimeable number, because it can be changed into a prime (2260074150289) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 563186170 + ... + 563190182.

It is an arithmetic number, because the mean of its divisors is an integer number (27144841581).

Almost surely, 22260074150288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2260074150288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3257380989720).

2260074150288 is an abundant number, since it is smaller than the sum of its proper divisors (4254687829152).

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

2260074150288 is a wasteful number, since it uses less digits than its factorization.

2260074150288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4866 (or 4857 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 2260074150288 in words is "two trillion, two hundred sixty billion, seventy-four million, one hundred fifty thousand, two hundred eighty-eight".