Search a number
-
+
132448032198 = 23311681209977
BaseRepresentation
bin111101101011010000…
…1001001010111000110
3110122212112100011111000
41323112201021113012
54132223144012243
6140502404554130
712366120461316
oct1732641112706
9418775304430
10132448032198
1151197508a39
12218046b2946
13c64a109cb1
1465a666d446
1536a2c265d3
hex1ed68495c6

132448032198 has 32 divisors (see below), whose sum is σ = 294355559520. Its totient is φ = 44145354240.

The previous prime is 132448032181. The next prime is 132448032209. The reversal of 132448032198 is 891230844231.

132448032198 is a `hidden beast` number, since 1 + 3 + 244 + 80 + 321 + 9 + 8 = 666.

It is a super-2 number, since 2×1324480321982 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 525786 + ... + 735762.

It is an arithmetic number, because the mean of its divisors is an integer number (9198611235).

Almost surely, 2132448032198 is an apocalyptic number.

132448032198 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

132448032198 is an abundant number, since it is smaller than the sum of its proper divisors (161907527322).

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

132448032198 is a wasteful number, since it uses less digits than its factorization.

132448032198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221669 (or 221663 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 132448032198 in words is "one hundred thirty-two billion, four hundred forty-eight million, thirty-two thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 9 18 27 54 11681 23362 35043 70086 105129 209977 210258 315387 419954 629931 630774 1259862 1889793 3779586 5669379 11338758 2452741337 4905482674 7358224011 14716448022 22074672033 44149344066 66224016099 132448032198