Search a number
-
+
132334631550 = 233521171313401
BaseRepresentation
bin111101100111111000…
…0100011101001111110
3110122120121221211001000
41323033300203221332
54132010131202200
6140443234231130
712363242544222
oct1731760435176
9418517854030
10132334631550
11511394a43a0
12217927254a6
13c62c783b14
146595590782
153697cc6300
hex1ecfc23a7e

132334631550 has 384 divisors, whose sum is σ = 405706890240. Its totient is φ = 31449600000.

The previous prime is 132334631549. The next prime is 132334631599. The reversal of 132334631550 is 55136433231.

132334631550 is a `hidden beast` number, since 1 + 3 + 2 + 33 + 46 + 31 + 550 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 330011350 + ... + 330011750.

It is an arithmetic number, because the mean of its divisors is an integer number (1056528360).

Almost surely, 2132334631550 is an apocalyptic number.

132334631550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132334631550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202853445120).

132334631550 is an abundant number, since it is smaller than the sum of its proper divisors (273372258690).

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

132334631550 is a wasteful number, since it uses less digits than its factorization.

132334631550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

It can be divided in two parts, 1323346 and 31550, that added together give a square (1354896 = 11642).

The spelling of 132334631550 in words is "one hundred thirty-two billion, three hundred thirty-four million, six hundred thirty-one thousand, five hundred fifty".