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444026660561664 = 2834315331339781
BaseRepresentation
bin110010011110101110000001…
…1010111111010001100000000
32011020011112102102102200120020
41210331130003113322030000
5431144413100100433124
64212211010513413440
7162345603403030305
oct14475340327721400
92136145372380506
10444026660561664
11119531716154974
124197341226a280
131609b6c41959cb
147b9100db870ac
15365024468b379
hex193d7035fa300

444026660561664 has 72 divisors (see below), whose sum is σ = 1181762076541872. Its totient is φ = 148008433397760.

The previous prime is 444026660561611. The next prime is 444026660561681. The reversal of 444026660561664 is 466165066620444.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 444026660561598 and 444026660561607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 330747454 + ... + 332087234.

Almost surely, 2444026660561664 is an apocalyptic number.

It is an amenable number.

444026660561664 is an abundant number, since it is smaller than the sum of its proper divisors (737735415980208).

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

444026660561664 is a wasteful number, since it uses less digits than its factorization.

444026660561664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771333 (or 1771319 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 60.

The spelling of 444026660561664 in words is "four hundred forty-four trillion, twenty-six billion, six hundred sixty million, five hundred sixty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 431533 863066 1294599 1339781 1726132 2589198 2679562 3452264 4019343 5178396 5359124 6904528 8038686 10356792 10718248 13809056 16077372 20713584 21436496 27618112 32154744 41427168 42872992 55236224 64309488 82854336 85745984 110472448 128618976 165708672 171491968 257237952 331417344 342983936 514475904 1028951808 578159714273 1156319428546 1734479142819 2312638857092 3468958285638 4625277714184 6937916571276 9250555428368 13875833142552 18501110856736 27751666285104 37002221713472 55503332570208 74004443426944 111006665140416 148008886853888 222013330280832 444026660561664