Search a number
-
+
542366143362 = 232172181157571
BaseRepresentation
bin1111110010001111000…
…10101001001110000010
31220211221102120210020100
413321013202221032002
532341231213041422
61053054244423230
754120224103321
oct7710742511602
91824842523210
10542366143362
1119a01a60401a
12891453a7b16
133c1b6493764
141c371b5a0b8
15e1952047ac
hex7e478a9382

542366143362 has 72 divisors (see below), whose sum is σ = 1249028915472. Its totient is φ = 170057174400.

The previous prime is 542366143351. The next prime is 542366143369. The reversal of 542366143362 is 263341663245.

542366143362 is a `hidden beast` number, since 5 + 4 + 23 + 6 + 614 + 3 + 3 + 6 + 2 = 666.

It is a super-2 number, since 2×5423661433622 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (542366143369) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 9392037 + ... + 9449607.

It is an arithmetic number, because the mean of its divisors is an integer number (17347623826).

Almost surely, 2542366143362 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542366143362, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624514457736).

542366143362 is an abundant number, since it is smaller than the sum of its proper divisors (706662772110).

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

542366143362 is a wasteful number, since it uses less digits than its factorization.

542366143362 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59424 (or 59404 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 45.

The spelling of 542366143362 in words is "five hundred forty-two billion, three hundred sixty-six million, one hundred forty-three thousand, three hundred sixty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 289 306 578 867 1734 1811 2601 3622 5202 5433 10866 16299 30787 32598 57571 61574 92361 115142 172713 184722 277083 345426 518139 523379 554166 978707 1036278 1046758 1570137 1957414 2936121 3140274 4710411 5872242 8808363 9420822 16638019 17616726 33276038 49914057 99828114 104261081 149742171 208522162 299484342 312783243 625566486 938349729 1772438377 1876699458 3544876754 5317315131 10634630262 15951945393 30131452409 31903890786 60262904818 90394357227 180788714454 271183071681 542366143362