Search a number
-
+
45053174460 = 223572294711243
BaseRepresentation
bin101001111101011000…
…001110001010111100
311022021211111101201010
4221331120032022330
51214232103040320
632410325515220
73153313443600
oct517530161274
9138254441633
1045053174460
111811a384888
128894272b10
13432cc3b418
142275751500
15128a443ae0
hexa7d60e2bc

45053174460 has 288 divisors, whose sum is σ = 155048463360. Its totient is φ = 9730355712.

The previous prime is 45053174459. The next prime is 45053174497. The reversal of 45053174460 is 6447135054.

It is a happy number.

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 95 ways as a sum of consecutive naturals, for example, 4001599 + ... + 4012841.

It is an arithmetic number, because the mean of its divisors is an integer number (538362720).

Almost surely, 245053174460 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 45053174460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77524231680).

45053174460 is an abundant number, since it is smaller than the sum of its proper divisors (109995288900).

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

45053174460 is a wasteful number, since it uses less digits than its factorization.

45053174460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11345 (or 11336 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The spelling of 45053174460 in words is "forty-five billion, fifty-three million, one hundred seventy-four thousand, four hundred sixty".