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42389868544 = 21232172
BaseRepresentation
bin100111011110101000…
…100001000000000000
311001102020000102211021
4213132220201000000
51143303301243134
631250145555224
73030313636402
oct473650410000
9131366012737
1042389868544
1116a82a80711
128270345b14
133cc723186a
1420a1b50b72
15118170b0b4
hex9dea21000

42389868544 has 39 divisors (see below), whose sum is σ = 84795746637. Its totient is φ = 21188345856.

The previous prime is 42389868533. The next prime is 42389868581. The reversal of 42389868544 is 44586898324.

The square root of 42389868544 is 205888.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 38228070400 + 4161798144 = 195520^2 + 64512^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 13175224 + ... + 13178440.

Almost surely, 242389868544 is an apocalyptic number.

42389868544 is the 205888-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42389868544

42389868544 is an abundant number, since it is smaller than the sum of its proper divisors (42405878093).

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

42389868544 is an frugal number, since it uses more digits than its factorization.

42389868544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6458 (or 3219 counting only the distinct ones).

The product of its digits is 53084160, while the sum is 61.

The spelling of 42389868544 in words is "forty-two billion, three hundred eighty-nine million, eight hundred sixty-eight thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 3217 4096 6434 12868 25736 51472 102944 205888 411776 823552 1647104 3294208 6588416 10349089 13176832 20698178 41396356 82792712 165585424 331170848 662341696 1324683392 2649366784 5298733568 10597467136 21194934272 42389868544