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55715271444 = 22337256918503
BaseRepresentation
bin110011111000111000…
…111001001100010100
312022210220010001011000
4303320320321030110
51403101102141234
641332323343300
74011450664500
oct637070711424
9168726101130
1055715271444
11216a0900088
12a96ab21b30
13533bb56a51
1429a77c3300
1516b14d8899
hexcf8e39314

55715271444 has 144 divisors (see below), whose sum is σ = 168334588800. Its totient is φ = 15889813632.

The previous prime is 55715271431. The next prime is 55715271497. The reversal of 55715271444 is 44417251755.

55715271444 is a `hidden beast` number, since 5 + 5 + 71 + 527 + 14 + 44 = 666.

55715271444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 55715271444.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3001897 + ... + 3020399.

It is an arithmetic number, because the mean of its divisors is an integer number (1168990200).

Almost surely, 255715271444 is an apocalyptic number.

55715271444 is a gapful number since it is divisible by the number (54) 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 55715271444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84167294400).

55715271444 is an abundant number, since it is smaller than the sum of its proper divisors (112619317356).

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

55715271444 is a wasteful number, since it uses less digits than its factorization.

55715271444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19099 (or 19084 counting only the distinct ones).

The product of its digits is 784000, while the sum is 45.

The spelling of 55715271444 in words is "fifty-five billion, seven hundred fifteen million, two hundred seventy-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 569 588 756 882 1138 1323 1707 1764 2276 2646 3414 3983 5121 5292 6828 7966 10242 11949 15363 15932 18503 20484 23898 27881 30726 35847 37006 47796 55509 55762 61452 71694 74012 83643 107541 111018 111524 129521 143388 166527 167286 215082 222036 250929 259042 333054 334572 388563 430164 499581 501858 518084 666108 752787 777126 906647 999162 1003716 1165689 1505574 1554252 1813294 1998324 2331378 2719941 3011148 3497067 3626588 4662756 5439882 6994134 8159823 10528207 10879764 13988268 16319646 21056414 24479469 31584621 32639292 42112828 48958938 63169242 73697449 94753863 97917876 126338484 147394898 189507726 221092347 284261589 294789796 379015452 442184694 515882143 568523178 663277041 884369388 1031764286 1137046356 1326554082 1547646429 1989831123 2063528572 2653108164 3095292858 3979662246 4642939287 6190585716 7959324492 9285878574 13928817861 18571757148 27857635722 55715271444