Search a number
-
+
14691722528 = 257230612
BaseRepresentation
bin11011010111011000…
…11110010100100000
31101220220001211111102
431223230132110200
5220042040110103
610425502333532
71030034403200
oct155354362440
941826054442
1014691722528
11625a10464a
122a2028a2a8
131501a10752
149d52d8400
155aec1ce88
hex36bb1e520

14691722528 has 54 divisors (see below), whose sum is σ = 33657663753. Its totient is φ = 6294395520.

The previous prime is 14691722519. The next prime is 14691722537. The reversal of 14691722528 is 82522719641.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

14691722528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14691722519) and next prime (14691722537).

It can be written as a sum of positive squares in 2 ways, for example, as 10439117584 + 4252604944 = 102172^2 + 65212^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=85708.

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 8 ways as a sum of consecutive naturals, for example, 4798118 + ... + 4801178.

Almost surely, 214691722528 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 14691722528

14691722528 is an abundant number, since it is smaller than the sum of its proper divisors (18965941225).

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

14691722528 is an frugal number, since it uses more digits than its factorization.

14691722528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6146 (or 3070 counting only the distinct ones).

The product of its digits is 483840, while the sum is 47.

The spelling of 14691722528 in words is "fourteen billion, six hundred ninety-one million, seven hundred twenty-two thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 3061 6122 12244 21427 24488 42854 48976 85708 97952 149989 171416 299978 342832 599956 685664 1199912 2399824 4799648 9369721 18739442 37478884 65588047 74957768 131176094 149915536 262352188 299831072 459116329 524704376 918232658 1049408752 1836465316 2098817504 3672930632 7345861264 14691722528