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14742472832 = 2797212241
BaseRepresentation
bin11011011101011100…
…00100100010000000
31102001102120012211022
431232232010202000
5220143033112312
610434514205012
71031221644233
oct155656044200
942042505738
1014742472832
11628581804a
122a35283768
13150c39c509
149dbd4941a
155b43e5172
hex36eb84880

14742472832 has 48 divisors (see below), whose sum is σ = 29678096970. Its totient is φ = 7294648320.

The previous prime is 14742472831. The next prime is 14742472889. The reversal of 14742472832 is 23827424741.

It can be written as a sum of positive squares in 3 ways, for example, as 10431762496 + 4310710336 = 102136^2 + 65656^2 .

It is not an unprimeable number, because it can be changed into a prime (14742472831) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1198232 + ... + 1210472.

Almost surely, 214742472832 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 14742472832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14839048485).

14742472832 is an abundant number, since it is smaller than the sum of its proper divisors (14935624138).

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

14742472832 is an frugal number, since it uses more digits than its factorization.

14742472832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12449 (or 12340 counting only the distinct ones).

The product of its digits is 602112, while the sum is 44.

The spelling of 14742472832 in words is "fourteen billion, seven hundred forty-two million, four hundred seventy-two thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 97 128 194 388 776 1552 3104 6208 9409 12241 12416 18818 24482 37636 48964 75272 97928 150544 195856 301088 391712 602176 783424 1187377 1204352 1566848 2374754 4749508 9499016 18998032 37996064 75992128 115175569 151984256 230351138 460702276 921404552 1842809104 3685618208 7371236416 14742472832