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2482270196640 = 253513171011911213
BaseRepresentation
bin100100000111110010110…
…101010101001110100000
322210022011200022020021220
4210013302311111032200
5311132142132243030
65140201133015040
7344223653352543
oct44076265251640
98708150266256
102482270196640
118777a78a4633
123410b7324480
13150100446030
14881dd0dc85a
154488232aa10
hex241f2d553a0

2482270196640 has 768 divisors, whose sum is σ = 9058836455424. Its totient is φ = 565936128000.

The previous prime is 2482270196639. The next prime is 2482270196647. The reversal of 2482270196640 is 466910722842.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (2482270196647) 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 127 ways as a sum of consecutive naturals, for example, 2046388674 + ... + 2046389886.

It is an arithmetic number, because the mean of its divisors is an integer number (11795359968).

Almost surely, 22482270196640 is an apocalyptic number.

2482270196640 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 2482270196640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4529418227712).

2482270196640 is an abundant number, since it is smaller than the sum of its proper divisors (6576566258784).

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

2482270196640 is a wasteful number, since it uses less digits than its factorization.

2482270196640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553 (or 1545 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 2482270196640 in words is "two trillion, four hundred eighty-two billion, two hundred seventy million, one hundred ninety-six thousand, six hundred forty".