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4441152666126 = 23111717892212547
BaseRepresentation
bin100000010100000100101…
…0100111011101000001110
3120201120101120021010002110
41000220021110323220032
51040230440040304001
613240123134404450
7635601621541431
oct100501124735016
916646346233073
104441152666126
111462533999140
125b8885060726
13262a50249a97
14114d4abdb818
157a7d06763d6
hex40a0953ba0e

4441152666126 has 64 divisors (see below), whose sum is σ = 10265514704640. Its totient is φ = 1265930319360.

The previous prime is 4441152666113. The next prime is 4441152666187. The reversal of 4441152666126 is 6216662511444.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 900985 + ... + 3113531.

It is an arithmetic number, because the mean of its divisors is an integer number (160398667260).

Almost surely, 24441152666126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4441152666126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5132757352320).

4441152666126 is an abundant number, since it is smaller than the sum of its proper divisors (5824362038514).

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

4441152666126 is a wasteful number, since it uses less digits than its factorization.

4441152666126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2214369.

The product of its digits is 1658880, while the sum is 48.

The spelling of 4441152666126 in words is "four trillion, four hundred forty-one billion, one hundred fifty-two million, six hundred sixty-six thousand, one hundred twenty-six".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 374 561 1122 1789 3578 5367 10734 19679 30413 39358 59037 60826 91239 118074 182478 334543 669086 1003629 2007258 2212547 4425094 6637641 13275282 24338017 37613299 48676034 73014051 75226598 112839897 146028102 225679794 413746289 827492578 1241238867 2482477734 3958246583 7916493166 11874739749 23749479498 43540712413 67290191911 87081424826 130622137239 134580383822 201870575733 261244274478 403741151466 740192111021 1480384222042 2220576333063 4441152666126