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20127122457066 = 232231812391123841
BaseRepresentation
bin1001001001110001101011…
…11111000000000111101010
32122021010121202210102110100
410210320311333000013222
510114230321322111231
6110450134501330230
74145064600050142
oct444706577000752
978233552712410
1020127122457066
11645a956a06609
122310930706976
13b2cc96c7b431
144d822d4b9922
1524d8452941e6
hex124e35fc01ea

20127122457066 has 96 divisors (see below), whose sum is σ = 45947695772160. Its totient is φ = 6355180339200.

The previous prime is 20127122457041. The next prime is 20127122457097. The reversal of 20127122457066 is 66075422172102.

20127122457066 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 7 + 12 + 2 + 4 + 570 + 66 = 666.

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, 17347306 + ... + 18471146.

It is an arithmetic number, because the mean of its divisors is an integer number (478621830960).

Almost surely, 220127122457066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20127122457066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22973847886080).

20127122457066 is an abundant number, since it is smaller than the sum of its proper divisors (25820573315094).

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

20127122457066 is a wasteful number, since it uses less digits than its factorization.

20127122457066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124292 (or 1124289 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 20127122457066 in words is "twenty trillion, one hundred twenty-seven billion, one hundred twenty-two million, four hundred fifty-seven thousand, sixty-six".

Divisors: 1 2 3 6 9 18 23 46 69 138 181 207 239 362 414 478 543 717 1086 1434 1629 2151 3258 4163 4302 5497 8326 10994 12489 16491 24978 32982 37467 43259 49473 74934 86518 98946 129777 259554 389331 778662 994957 1123841 1989914 2247682 2984871 3371523 5969742 6743046 8954613 10114569 17909226 20229138 25848343 51696686 77545029 155090058 203415221 232635087 268597999 406830442 465270174 537195998 610245663 805793997 1220491326 1611587994 1830736989 2417381991 3661473978 4678550083 4834763982 6177753977 9357100166 12355507954 14035650249 18533261931 28071300498 37066523862 42106950747 48616237819 55599785793 84213901494 97232475638 111199571586 145848713457 291697426914 437546140371 875092280742 1118173469837 2236346939674 3354520409511 6709040819022 10063561228533 20127122457066