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20542454324144 = 2429463577165721
BaseRepresentation
bin1001010101110111010011…
…01100010101101110110000
32200201211122221222100011222
410222323221230111232300
510143031421301333034
6111405023452524212
74220100111503114
oct452735154255660
980654587870158
1020542454324144
116600007a1a635
122379322480668
13b601b6b1036c
1451038d9ad744
15259552ba812e
hex12aee9b15bb0

20542454324144 has 80 divisors (see below), whose sum is σ = 41334142600320. Its totient is φ = 9878418063360.

The previous prime is 20542454324141. The next prime is 20542454324149. The reversal of 20542454324144 is 44142345424502.

It is a junction number, because it is equal to n+sod(n) for n = 20542454324095 and 20542454324104.

It is not an unprimeable number, because it can be changed into a prime (20542454324141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123875204 + ... + 124040924.

It is an arithmetic number, because the mean of its divisors is an integer number (516676782504).

Almost surely, 220542454324144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20542454324144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20667071300160).

20542454324144 is an abundant number, since it is smaller than the sum of its proper divisors (20791688276176).

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

20542454324144 is a wasteful number, since it uses less digits than its factorization.

20542454324144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166798 (or 166792 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 44.

Adding to 20542454324144 its reverse (44142345424502), we get a palindrome (64684799748646).

The spelling of 20542454324144 in words is "twenty trillion, five hundred forty-two billion, four hundred fifty-four million, three hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 29 58 116 232 463 464 577 926 1154 1852 2308 3704 4616 7408 9232 13427 16733 26854 33466 53708 66932 107416 133864 165721 214832 267151 267728 331442 534302 662884 1068604 1325768 2137208 2651536 4274416 4805909 7747379 9611818 15494758 19223636 30989516 38447272 61979032 76728823 76894544 95621017 123958064 153457646 191242034 306915292 382484068 613830584 764968136 1227661168 1529936272 2225135867 2773009493 4450271734 5546018986 8900543468 11092037972 17801086936 22184075944 35602173872 44272530871 44368151888 88545061742 177090123484 354180246968 708360493936 1283903395259 2567806790518 5135613581036 10271227162072 20542454324144