Search a number
-
+
4742241598528 = 26753521383347
BaseRepresentation
bin100010100000010001110…
…1000000011110001000000
3121210100112222012122021021
41011000203220003301000
51110144102322123103
614030320011235224
7666421111333120
oct105004350036100
917710488178237
104742241598528
11156919a830475
126470b3148b14
13285264852895
141257507dac80
1583553731bbd
hex45023a03c40

4742241598528 has 112 divisors (see below), whose sum is σ = 10978706438784. Its totient is φ = 1990209761280.

The previous prime is 4742241598513. The next prime is 4742241598529. The reversal of 4742241598528 is 8258951422474.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (4742241598529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12178951 + ... + 12562297.

It is an arithmetic number, because the mean of its divisors is an integer number (98024164632).

Almost surely, 24742241598528 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 4742241598528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5489353219392).

4742241598528 is an abundant number, since it is smaller than the sum of its proper divisors (6236464840256).

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

4742241598528 is a wasteful number, since it uses less digits than its factorization.

4742241598528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383940 (or 383930 counting only the distinct ones).

The product of its digits is 51609600, while the sum is 61.

The spelling of 4742241598528 in words is "four trillion, seven hundred forty-two billion, two hundred forty-one million, five hundred ninety-eight thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 112 212 224 371 424 448 521 742 848 1042 1484 1696 2084 2968 3392 3647 4168 5936 7294 8336 11872 14588 16672 23744 27613 29176 33344 55226 58352 110452 116704 193291 220904 233408 383347 386582 441808 766694 773164 883616 1533388 1546328 1767232 2683429 3066776 3092656 5366858 6133552 6185312 10733716 12267104 12370624 20317391 21467432 24534208 40634782 42934864 81269564 85869728 142221737 162539128 171739456 199723787 284443474 325078256 399447574 568886948 650156512 798895148 1137773896 1300313024 1398066509 1597790296 2275547792 2796133018 3195580592 4551095584 5592266036 6391161184 9102191168 10585360711 11184532072 12782322368 21170721422 22369064144 42341442844 44738128288 74097524977 84682885688 89476256576 148195049954 169365771376 296390099908 338731542752 592780199816 677463085504 1185560399632 2371120799264 4742241598528