Search a number
-
+
13463425024 = 21274372
BaseRepresentation
bin11001000100111101…
…11001000000000000
31021202021210212002021
430202132321000000
5210033114100044
610103543531224
7654431140000
oct144236710000
937667725067
1013463425024
115789830545
122738a59b14
1313673bc1aa
1491a120000
1553be92e84
hex3227b9000

13463425024 has 195 divisors, whose sum is σ = 32280788337. Its totient is φ = 5614092288.

The previous prime is 13463425013. The next prime is 13463425039. The reversal of 13463425024 is 42052436431.

The square root of 13463425024 is 116032.

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., 12047257600 + 1416167424 = 109760^2 + 37632^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 363876334 + ... + 363876370.

Almost surely, 213463425024 is an apocalyptic number.

13463425024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13463425024 is the 116032-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13463425024

13463425024 is an abundant number, since it is smaller than the sum of its proper divisors (18817363313).

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

13463425024 is an frugal number, since it uses more digits than its factorization.

13463425024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 34.

The spelling of 13463425024 in words is "thirteen billion, four hundred sixty-three million, four hundred twenty-five thousand, twenty-four".