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44472627444 = 223710118128961
BaseRepresentation
bin101001011010110001…
…100111000011110100
311020210101002112220210
4221122301213003310
51212034443034234
632232550425420
73133034044650
oct513261470364
9136711075823
1044472627444
1117951703263
128751962270
134269893c8b
14221c5cda60
1512544b9be9
hexa5ac670f4

44472627444 has 96 divisors (see below), whose sum is σ = 120433727232. Its totient is φ = 12510720000.

The previous prime is 44472627443. The next prime is 44472627449.

44472627444 is nontrivially palindromic in base 10.

44472627444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 44472627393 and 44472627402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44472627443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1521124 + ... + 1550084.

It is an arithmetic number, because the mean of its divisors is an integer number (1254517992).

Almost surely, 244472627444 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 44472627444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60216863616).

44472627444 is an abundant number, since it is smaller than the sum of its proper divisors (75961099788).

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

44472627444 is a wasteful number, since it uses less digits than its factorization.

44472627444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29257 (or 29255 counting only the distinct ones).

The product of its digits is 4816896, while the sum is 48.

The spelling of 44472627444 in words is "forty-four billion, four hundred seventy-two million, six hundred twenty-seven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 101 181 202 303 362 404 543 606 707 724 1086 1212 1267 1414 2121 2172 2534 2828 3801 4242 5068 7602 8484 15204 18281 28961 36562 54843 57922 73124 86883 109686 115844 127967 173766 202727 219372 255934 347532 383901 405454 511868 608181 767802 810908 1216362 1535604 2432724 2925061 5241941 5850122 8775183 10483882 11700244 15725823 17550366 20475427 20967764 31451646 35100732 36693587 40950854 61426281 62903292 73387174 81901708 110080761 122852562 146774348 220161522 245705124 440323044 529436041 1058872082 1588308123 2117744164 3176616246 3706052287 6353232492 7412104574 11118156861 14824209148 22236313722 44472627444