Search a number
-
+
45937229832 = 2332132292672
BaseRepresentation
bin101010110010000100…
…101000000000001000
311101120110000001200200
4222302010220000020
51223034412323312
633034150132200
73214240003524
oct526204500010
9141513001620
1045937229832
111853340675a
128aa0351060
134441141500
14231ad1ad84
1512dcd710dc
hexab2128008

45937229832 has 324 divisors, whose sum is σ = 141639010695. Its totient is φ = 13443446016.

The previous prime is 45937229831. The next prime is 45937229867. The reversal of 45937229832 is 23892273954.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

45937229832 is a `hidden beast` number, since 459 + 3 + 72 + 2 + 98 + 32 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 7609770756 + 38327459076 = 87234^2 + 195774^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=151554.

It is a super-2 number, since 2×459372298322 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45937229831) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 685630263 + ... + 685630329.

Almost surely, 245937229832 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 45937229832

45937229832 is an abundant number, since it is smaller than the sum of its proper divisors (95701780863).

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

45937229832 is a wasteful number, since it uses less digits than its factorization.

45937229832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 114 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 45937229832 in words is "forty-five billion, nine hundred thirty-seven million, two hundred twenty-nine thousand, eight hundred thirty-two".