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42436506336 = 253763149563
BaseRepresentation
bin100111100001011010…
…011011001011100000
311001112110202212211220
4213201122123023200
51143402221200321
631254533335040
73031421231550
oct474132331340
9131473685756
1042436506336
1116aa7335344
128283a97480
134003ab07a3
1420a8011160
15118586e9c6
hex9e169b2e0

42436506336 has 48 divisors (see below), whose sum is σ = 127309521024. Its totient is φ = 12124715904.

The previous prime is 42436506323. The next prime is 42436506367. The reversal of 42436506336 is 63360563424.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31574110 + ... + 31575453.

It is an arithmetic number, because the mean of its divisors is an integer number (2652281688).

Almost surely, 242436506336 is an apocalyptic number.

It is an amenable number.

42436506336 is an abundant number, since it is smaller than the sum of its proper divisors (84873014688).

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

42436506336 is a wasteful number, since it uses less digits than its factorization.

42436506336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63149583 (or 63149575 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 42.

The spelling of 42436506336 in words is "forty-two billion, four hundred thirty-six million, five hundred six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 63149563 126299126 189448689 252598252 378897378 442046941 505196504 757794756 884093882 1010393008 1326140823 1515589512 1768187764 2020786016 2652281646 3031179024 3536375528 5304563292 6062358048 7072751056 10609126584 14145502112 21218253168 42436506336