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2144707656 = 2337513409
BaseRepresentation
bin111111111010101…
…1010010001001000
312112110122102210220
41333311122101020
513343021121111
6552452310040
7104101500000
oct17765322110
95473572726
102144707656
11a006a4673
124ba312320
132824423b0
14164ba7000
15c8448e06
hex7fd5a448

2144707656 has 192 divisors, whose sum is σ = 6752995200. Its totient is φ = 564254208.

The previous prime is 2144707597. The next prime is 2144707681. The reversal of 2144707656 is 6567074412.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5243580 + ... + 5243988.

It is an arithmetic number, because the mean of its divisors is an integer number (35171850).

Almost surely, 22144707656 is an apocalyptic number.

2144707656 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 2144707656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3376497600).

2144707656 is an abundant number, since it is smaller than the sum of its proper divisors (4608287544).

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

2144707656 is an equidigital number, since it uses as much as digits as its factorization.

2144707656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 2144707656 is about 46310.9885016504. The cubic root of 2144707656 is about 1289.6029978385.

The spelling of 2144707656 in words is "two billion, one hundred forty-four million, seven hundred seven thousand, six hundred fifty-six".