Search a number
-
+
32050054050 = 23527192935483
BaseRepresentation
bin11101110110010101…
…010000001110100010
310001201121211102211220
4131312111100032202
51011114303212200
622420143515510
72213141651550
oct356625201642
9101647742756
1032050054050
1112657468a83
1262655b8b96
13303a016331
1417a0812bd0
15c78ac74a0
hex7765503a2

32050054050 has 192 divisors, whose sum is σ = 95963857920. Its totient is φ = 6915214080.

The previous prime is 32050054039. The next prime is 32050054067. The reversal of 32050054050 is 5045005023.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 32050054050.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5842609 + ... + 5848091.

It is an arithmetic number, because the mean of its divisors is an integer number (499811760).

Almost surely, 232050054050 is an apocalyptic number.

32050054050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32050054050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47981928960).

32050054050 is an abundant number, since it is smaller than the sum of its proper divisors (63913803870).

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

32050054050 is a wasteful number, since it uses less digits than its factorization.

32050054050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5817 (or 5812 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 24.

Adding to 32050054050 its reverse (5045005023), we get a palindrome (37095059073).

The spelling of 32050054050 in words is "thirty-two billion, fifty million, fifty-four thousand, fifty", and thus it is an eban number.