Search a number
-
+
12851396496 = 2434472672
BaseRepresentation
bin10111111100000000…
…01011111110010000
31020011122011120210000
423332000023332100
5202304424141441
65523122010000
7633320032161
oct137600137620
936148146700
1012851396496
1154a5307444
1225a7aa6900
13129a671633
1489cb25768
1550339b2b6
hex2fe00bf90

12851396496 has 225 divisors, whose sum is σ = 38579593899. Its totient is φ = 4130077248.

The previous prime is 12851396489. The next prime is 12851396497. The reversal of 12851396496 is 69469315821.

The square root of 12851396496 is 113364.

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

12851396496 is a `hidden beast` number, since 12 + 8 + 5 + 139 + 6 + 496 = 666.

12851396496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (12851396497) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 191811855 + ... + 191811921.

Almost surely, 212851396496 is an apocalyptic number.

12851396496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12851396496 is the 113364-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12851396496

12851396496 is an abundant number, since it is smaller than the sum of its proper divisors (25728197403).

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

12851396496 is an frugal number, since it uses more digits than its factorization.

12851396496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 119 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The spelling of 12851396496 in words is "twelve billion, eight hundred fifty-one million, three hundred ninety-six thousand, four hundred ninety-six".