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482841767142 = 2327139138119963
BaseRepresentation
bin1110000011010111001…
…11001010110011100110
31201011022001222011122200
413001223213022303212
530402324443022032
61005451530435330
746612161206010
oct7015347126346
91634261864580
10482841767142
11176854654169
12796b2892b46
13366bb435377
14195265151b0
15c85e60247c
hex706b9cace6

482841767142 has 96 divisors (see below), whose sum is σ = 1205142032640. Its totient is φ = 136856278080.

The previous prime is 482841767123. The next prime is 482841767143. The reversal of 482841767142 is 241767148284.

It is a happy number.

482841767142 is a `hidden beast` number, since 4 + 8 + 28 + 417 + 67 + 142 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482841767143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24176853 + ... + 24196815.

It is an arithmetic number, because the mean of its divisors is an integer number (12553562840).

Almost surely, 2482841767142 is an apocalyptic number.

482841767142 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 482841767142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602571016320).

482841767142 is an abundant number, since it is smaller than the sum of its proper divisors (722300265498).

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

482841767142 is a wasteful number, since it uses less digits than its factorization.

482841767142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21498 (or 21495 counting only the distinct ones).

The product of its digits is 4816896, while the sum is 54.

The spelling of 482841767142 in words is "four hundred eighty-two billion, eight hundred forty-one million, seven hundred sixty-seven thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 139 278 417 834 973 1251 1381 1946 2502 2762 2919 4143 5838 8286 8757 9667 12429 17514 19334 19963 24858 29001 39926 58002 59889 87003 119778 139741 174006 179667 191959 279482 359334 383918 419223 575877 838446 1151754 1257669 1343713 1727631 2515338 2687426 2774857 3455262 4031139 5549714 8062278 8324571 12093417 16649142 19423999 24186834 24973713 27568903 38847998 49947426 55137806 58271997 82706709 116543994 165413418 174815991 192982321 248120127 349631982 385964642 496240254 578946963 1157893926 1736840889 3473681778 3832077517 7664155034 11496232551 22992465102 26824542619 34488697653 53649085238 68977395306 80473627857 160947255714 241420883571 482841767142