Search a number
-
+
131468607396 = 223272892972
BaseRepresentation
bin111101001110000100…
…0111011111110100100
3110120100021101020020100
41322130020323332210
54123221430414041
6140221300304100
712332625503400
oct1723410737644
9416307336210
10131468607396
1150834668655
12215906a2030
13c522224ca9
14651255a100
153646c5b6b6
hex1e9c23bfa4

131468607396 has 243 divisors, whose sum is σ = 395044912899. Its totient is φ = 36757518336.

The previous prime is 131468607377. The next prime is 131468607397. The reversal of 131468607396 is 693706864131.

It is a happy number.

The square root of 131468607396 is 362586.

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

131468607396 is a `hidden beast` number, since 1 + 31 + 468 + 60 + 7 + 3 + 96 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18346702500 + 113121904896 = 135450^2 + 336336^2 .

It is not an unprimeable number, because it can be changed into a prime (131468607397) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1355346420 + ... + 1355346516.

Almost surely, 2131468607396 is an apocalyptic number.

131468607396 is the 362586-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131468607396

131468607396 is an abundant number, since it is smaller than the sum of its proper divisors (263576305503).

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

131468607396 is an equidigital number, since it uses as much as digits as its factorization.

131468607396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 131468607396 in words is "one hundred thirty-one billion, four hundred sixty-eight million, six hundred seven thousand, three hundred ninety-six".