Search a number
-
+
46142724936 = 233721123155087
BaseRepresentation
bin101010111110010100…
…100001101101001000
311102002202200021222110
4222332110201231020
51224000014144221
633110410422320
73222313455600
oct527624415510
9142082607873
1046142724936
1118629402220
128b391319a0
1344748a0a49
14233a32dc00
151300e13776
hexabe521b48

46142724936 has 192 divisors, whose sum is σ = 152755476480. Its totient is φ = 11463957120.

The previous prime is 46142724931. The next prime is 46142724937. The reversal of 46142724936 is 63942724164.

It is not an unprimeable number, because it can be changed into a prime (46142724931) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 219985 + ... + 375071.

It is an arithmetic number, because the mean of its divisors is an integer number (795601440).

Almost surely, 246142724936 is an apocalyptic number.

46142724936 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46142724936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76377738240).

46142724936 is an abundant number, since it is smaller than the sum of its proper divisors (106612751544).

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

46142724936 is a wasteful number, since it uses less digits than its factorization.

46142724936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155144 (or 155133 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 48.

The spelling of 46142724936 in words is "forty-six billion, one hundred forty-two million, seven hundred twenty-four thousand, nine hundred thirty-six".