Search a number
-
+
53434904928 = 2532361617643
BaseRepresentation
bin110001110000111101…
…111111000101100000
312002220222012102100220
4301300331333011200
51333413313424203
640314143243040
73601111124556
oct616075770540
9162828172326
1053434904928
1120730679a59
12a4332a9480
135067597252
14282c9c5bd6
1515cb1e4653
hexc70f7f160

53434904928 has 192 divisors, whose sum is σ = 149237448192. Its totient is φ = 16704737280.

The previous prime is 53434904911. The next prime is 53434904969. The reversal of 53434904928 is 82940943435.

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, 83102175 + ... + 83102817.

It is an arithmetic number, because the mean of its divisors is an integer number (777278376).

Almost surely, 253434904928 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 53434904928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74618724096).

53434904928 is an abundant number, since it is smaller than the sum of its proper divisors (95802543264).

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

53434904928 is a wasteful number, since it uses less digits than its factorization.

53434904928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 51.

The spelling of 53434904928 in words is "fifty-three billion, four hundred thirty-four million, nine hundred four thousand, nine hundred twenty-eight".