Search a number
-
+
32052300384 = 2531341738581
BaseRepresentation
bin11101110110011101…
…110100101001100000
310001201210001120020110
4131312131310221200
51011120342103014
622420304011320
72213200025616
oct356635645140
9101653046213
1032052300384
1112658762755
126266300b40
13303a621920
1417a0c396b6
15c78dbcd59
hex776774a60

32052300384 has 192 divisors, whose sum is σ = 94101835968. Its totient is φ = 9488793600.

The previous prime is 32052300337. The next prime is 32052300493. The reversal of 32052300384 is 48300325023.

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 31 ways as a sum of consecutive naturals, for example, 3730974 + ... + 3739554.

It is an arithmetic number, because the mean of its divisors is an integer number (490113729).

Almost surely, 232052300384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32052300384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47050917984).

32052300384 is an abundant number, since it is smaller than the sum of its proper divisors (62049535584).

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

32052300384 is a wasteful number, since it uses less digits than its factorization.

32052300384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8721 (or 8713 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 32052300384 in words is "thirty-two billion, fifty-two million, three hundred thousand, three hundred eighty-four".