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5441466626406 = 234892516772221
BaseRepresentation
bin100111100101111000010…
…1011110111000101100110
3201021012101011110101010000
41033023300223313011212
51203123110424021111
615323435242242130
71101063421112526
oct117136053670546
921235334411100
105441466626406
111808793063038
1273a7141b6346
13306188590725
1414b522c0d686
1596829757c56
hex4f2f0af7166

5441466626406 has 160 divisors (see below), whose sum is σ = 12402905185440. Its totient is φ = 1782855360000.

The previous prime is 5441466626377. The next prime is 5441466626417. The reversal of 5441466626406 is 6046266641445.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2450006376 + ... + 2450008596.

It is an arithmetic number, because the mean of its divisors is an integer number (77518157409).

Almost surely, 25441466626406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5441466626406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6201452592720).

5441466626406 is an abundant number, since it is smaller than the sum of its proper divisors (6961438559034).

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

5441466626406 is a wasteful number, since it uses less digits than its factorization.

5441466626406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3252 (or 3243 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 54.

The spelling of 5441466626406 in words is "five trillion, four hundred forty-one billion, four hundred sixty-six million, six hundred twenty-six thousand, four hundred six".

Divisors: 1 2 3 6 9 18 27 54 81 89 162 178 251 267 502 534 677 753 801 1354 1506 1602 2031 2221 2259 2403 4062 4442 4518 4806 6093 6663 6777 7209 12186 13326 13554 14418 18279 19989 20331 22339 36558 39978 40662 44678 54837 59967 60253 67017 109674 119934 120506 134034 169927 179901 180759 197669 201051 339854 359802 361518 395338 402102 509781 542277 557471 593007 603153 1019562 1084554 1114942 1186014 1206306 1503617 1529343 1626831 1672413 1779021 1809459 3007234 3058686 3253662 3344826 3558042 3618918 4510851 4588029 4880493 5017239 5337063 9021702 9176058 9760986 10034478 10674126 13532553 13764087 15051717 15123503 16011189 27065106 27528174 30103434 30247006 32022378 40597659 45155151 45370509 49614919 81195318 90310302 90741018 99229838 121792977 133821913 136111527 148844757 243585954 267643826 272223054 297689514 377407867 401465739 408334581 446534271 754815734 802931478 816669162 893068542 1132223601 1204397217 1225003743 1339602813 2264447202 2408794434 2450007486 2679205626 3396670803 3613191651 4018808439 6793341606 7226383302 8037616878 10190012409 10839574953 20380024818 21679149906 30570037227 33589300163 61140074454 67178600326 100767900489 201535800978 302303701467 604607402934 906911104401 1813822208802 2720733313203 5441466626406