Search a number
-
+
20422525462542 = 2347103335274943
BaseRepresentation
bin1001010010010111111010…
…11000000010100000001110
32200022101002220122221020000
410221023331120002200032
510134100313004300132
6111233551221105130
74205323135135230
oct451137530024016
980271086587200
1020422525462542
116564165233885
12235a0325581a6
13b51ab35a2a28
14508653ca4250
152563840a587c
hex1292fd60280e

20422525462542 has 160 divisors (see below), whose sum is σ = 52375018493952. Its totient is φ = 5826526909056.

The previous prime is 20422525462523. The next prime is 20422525462567. The reversal of 20422525462542 is 24526452522402.

20422525462542 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 2 + 52 + 54 + 6 + 2 + 542 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4131602923 + ... + 4131607865.

Almost surely, 220422525462542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20422525462542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26187509246976).

20422525462542 is an abundant number, since it is smaller than the sum of its proper divisors (31952493031410).

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

20422525462542 is a wasteful number, since it uses less digits than its factorization.

20422525462542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9524 (or 9515 counting only the distinct ones).

The product of its (nonzero) digits is 3072000, while the sum is 45.

Adding to 20422525462542 its reverse (24526452522402), we get a palindrome (44948977984944).

The spelling of 20422525462542 in words is "twenty trillion, four hundred twenty-two billion, five hundred twenty-five million, four hundred sixty-two thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 567 1033 1134 2066 3099 3527 4943 6198 7054 7231 9297 9886 10581 14462 14829 18594 21162 21693 24689 27891 29658 31743 34601 43386 44487 49378 55782 63486 65079 69202 74067 83673 88974 95229 103803 130158 133461 148134 167346 190458 195237 207606 222201 266922 285687 311409 390474 400383 444402 571374 585711 622818 666603 800766 934227 1171422 1333206 1868454 1999809 2802681 3643391 3999618 5106119 5605362 7286782 10212238 10930173 15318357 17433961 21860346 25503737 30636714 32790519 34867922 35742833 45955071 51007474 52301883 65581038 71485666 76511211 91910142 98371557 104603766 107228499 122037727 137865213 153022422 156905649 196743114 214456998 229533633 244075454 275730426 295114671 313811298 321685497 366113181 413595639 459067266 470716947 590229342 643370994 688600899 732226362 827191278 941433894 965056491 1098339543 1377201798 1412150841 1930112982 2065802697 2196679086 2824301682 2895169473 3295018629 4131605394 5790338946 6590037258 9885055887 18009281713 19770111774 36018563426 54027845139 108055690278 126064971991 162083535417 252129943982 324167070834 378194915973 486250606251 756389831946 972501212502 1134584747919 1458751818753 2269169495838 2917503637506 3403754243757 6807508487514 10211262731271 20422525462542