Search a number
-
+
32394682980 = 2232511137307389
BaseRepresentation
bin11110001010110111…
…111010001001100100
310002121122022101212100
4132022313322021210
51012321014323410
622514254252100
72224525155612
oct361267721144
9102548271770
1032394682980
1112813a54880
126340ab7030
13309353b88a
1417d44c26b2
15c98e9e8c0
hex78adfa264

32394682980 has 288 divisors, whose sum is σ = 108609621120. Its totient is φ = 7750563840.

The previous prime is 32394682961. The next prime is 32394682981. The reversal of 32394682980 is 8928649323.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (32394682981) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 83276626 + ... + 83277014.

It is an arithmetic number, because the mean of its divisors is an integer number (377116740).

Almost surely, 232394682980 is an apocalyptic number.

32394682980 is a gapful number since it is divisible by the number (30) 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 32394682980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54304810560).

32394682980 is an abundant number, since it is smaller than the sum of its proper divisors (76214938140).

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

32394682980 is a wasteful number, since it uses less digits than its factorization.

32394682980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 32394682980 in words is "thirty-two billion, three hundred ninety-four million, six hundred eighty-two thousand, nine hundred eighty".