Search a number
-
+
132506192196 = 22310721072
BaseRepresentation
bin111101101100111111…
…1000000100101000100
3110200000120210000000000
41323121333000211010
54132333041122241
6140512243321300
712400425023100
oct1733177004504
9420016700000
10132506192196
1151217322454
1221820080230
13c6591915b1
1465b028c900
1536a7db3eb6
hex1ed9fc0944

132506192196 has 297 divisors, whose sum is σ = 408431626239. Its totient is φ = 37505090448.

The previous prime is 132506192177. The next prime is 132506192209. The reversal of 132506192196 is 691291605231.

The square root of 132506192196 is 364014.

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

132506192196 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 0 + 619 + 21 + 9 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 1238375575 + ... + 1238375681.

Almost surely, 2132506192196 is an apocalyptic number.

132506192196 is the 364014-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132506192196

132506192196 is an abundant number, since it is smaller than the sum of its proper divisors (275925434043).

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

132506192196 is an frugal number, since it uses more digits than its factorization.

132506192196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 132506192196 in words is "one hundred thirty-two billion, five hundred six million, one hundred ninety-two thousand, one hundred ninety-six".