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2054342448018 = 233722153360611
BaseRepresentation
bin11101111001010000010…
…110100001001110010010
321021101121122202020102000
4131321100112201032102
5232124243131314033
64211430224134430
7301264343456100
oct35712026411622
97241548666360
102054342448018
11722272834353
1229218b167416
1311b953b66463
1471605bd6c70
1538688bdda13
hex1de505a1392

2054342448018 has 96 divisors (see below), whose sum is σ = 5313026416320. Its totient is φ = 586680736320.

The previous prime is 2054342448001. The next prime is 2054342448101. The reversal of 2054342448018 is 8108442434502.

2054342448018 is a `hidden beast` number, since 2 + 0 + 543 + 4 + 24 + 4 + 80 + 1 + 8 = 666.

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 47 ways as a sum of consecutive naturals, for example, 5516533 + ... + 5877143.

It is an arithmetic number, because the mean of its divisors is an integer number (55344025170).

Almost surely, 22054342448018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2054342448018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2656513208160).

2054342448018 is an abundant number, since it is smaller than the sum of its proper divisors (3258683968302).

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

2054342448018 is a wasteful number, since it uses less digits than its factorization.

2054342448018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362789 (or 362776 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 45.

The spelling of 2054342448018 in words is "two trillion, fifty-four billion, three hundred forty-two million, four hundred forty-eight thousand, eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 378 441 882 1323 2153 2646 4306 6459 12918 15071 19377 30142 38754 45213 58131 90426 105497 116262 135639 210994 271278 316491 360611 406917 632982 721222 813834 949473 1081833 1898946 2163666 2524277 2848419 3245499 5048554 5696838 6490998 7572831 9736497 15145662 17669939 19472994 22718493 35339878 45436986 53009817 68155479 106019634 136310958 159029451 318058902 477088353 776395483 954176706 1552790966 2329186449 4658372898 5434768381 6987559347 10869536762 13975118694 16304305143 20962678041 32608610286 38043378667 41925356082 48912915429 76086757334 97825830858 114130136001 146738746287 228260272002 293477492574 342390408003 684780816006 1027171224009 2054342448018