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444378580379972 = 227191099887775087
BaseRepresentation
bin110010100001010001111001…
…1011011011110100101000100
32011021102011210022122202112222
41211002203303123132211010
5431221144313034124342
64213040411312431512
7162413202324106430
oct14502436333364504
92137364708582488
10444378580379972
11119657996776117
1241a0b667548598
13160c59497166a4
147ba40765a19c0
153659490014ed2
hex19428f36de944

444378580379972 has 96 divisors (see below), whose sum is σ = 944213441740800. Its totient is φ = 178750804572288.

The previous prime is 444378580379971. The next prime is 444378580380001. The reversal of 444378580379972 is 279973085873444.

It is not an unprimeable number, because it can be changed into a prime (444378580379971) 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, 572939813 + ... + 573714899.

It is an arithmetic number, because the mean of its divisors is an integer number (9835556684800).

Almost surely, 2444378580379972 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 444378580379972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472106720870400).

444378580379972 is an abundant number, since it is smaller than the sum of its proper divisors (499834861360828).

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

444378580379972 is a wasteful number, since it uses less digits than its factorization.

444378580379972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785113 (or 785111 counting only the distinct ones).

The product of its (nonzero) digits is 10241925120, while the sum is 80.

The spelling of 444378580379972 in words is "four hundred forty-four trillion, three hundred seventy-eight billion, five hundred eighty million, three hundred seventy-nine thousand, nine hundred seventy-two".

Divisors: 1 2 4 7 14 19 28 38 76 109 133 218 266 436 532 763 1526 2071 3052 4142 8284 9887 14497 19774 28994 39548 57988 69209 138418 187853 276836 375706 751412 775087 1077683 1314971 1550174 2155366 2629942 3100348 4310732 5259884 5425609 7543781 10851218 14726653 15087562 20475977 21702436 29453306 30175124 40951954 58906612 81903908 84484483 103086571 143331839 168968966 206173142 286663678 337937932 412346284 573327356 591391381 1182782762 1605205177 2365565524 3210410354 6420820708 7663285169 11236436239 15326570338 22472872478 30653140676 44945744956 53642996183 107285992366 145602418211 214571984732 291204836422 582409672844 835298083421 1019216927477 1670596166842 2038433854954 3341192333684 4076867709908 5847086583947 11694173167894 15870663584999 23388346335788 31741327169998 63482654339996 111094645094993 222189290189986 444378580379972