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44221927680 = 283257278341
BaseRepresentation
bin101001001011110101…
…010001000100000000
311020010220100200111100
4221023311101010000
51211031303141210
632152033214400
73123601116600
oct511365210400
9136126320440
1044221927680
1117833141877
1286a1a01400
134229967c18
1421d71b0c00
15123c4985c0
hexa4bd51100

44221927680 has 324 divisors, whose sum is σ = 177985659852. Its totient is φ = 10107740160.

The previous prime is 44221927679. The next prime is 44221927693. The reversal of 44221927680 is 8672912244.

It can be written as a sum of positive squares in 2 ways, for example, as 25151422464 + 19070505216 = 158592^2 + 138096^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 525310 + ... + 603650.

Almost surely, 244221927680 is an apocalyptic number.

44221927680 is a gapful number since it is divisible by the number (40) 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 44221927680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88992829926).

44221927680 is an abundant number, since it is smaller than the sum of its proper divisors (133763732172).

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

44221927680 is a wasteful number, since it uses less digits than its factorization.

44221927680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78382 (or 78358 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 44221927680 in words is "forty-four billion, two hundred twenty-one million, nine hundred twenty-seven thousand, six hundred eighty".