Search a number
-
+
45111440352 = 25311433672707
BaseRepresentation
bin101010000000110110…
…011111001111100000
311022102220010121111010
4222000312133033200
51214342012042402
632420210420520
73154621626156
oct520066371740
9138386117433
1045111440352
111814a260910
1288ab891740
13433c02bc94
14227d39b3d6
151290602a6c
hexa80d9f3e0

45111440352 has 192 divisors, whose sum is σ = 132596158464. Its totient is φ = 13310922240.

The previous prime is 45111440321. The next prime is 45111440377. The reversal of 45111440352 is 25304411154.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 16663383 + ... + 16666089.

It is an arithmetic number, because the mean of its divisors is an integer number (690604992).

Almost surely, 245111440352 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 45111440352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66298079232).

45111440352 is an abundant number, since it is smaller than the sum of its proper divisors (87484718112).

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

45111440352 is a wasteful number, since it uses less digits than its factorization.

45111440352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3141 (or 3133 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 45111440352 in words is "forty-five billion, one hundred eleven million, four hundred forty thousand, three hundred fifty-two".