Search a number
-
+
45060874848 = 25321119231241
BaseRepresentation
bin101001111101110101…
…100110001001100000
311022022100222121122200
4221331311212021200
51214241040443343
632411202533200
73153436054653
oct517565461140
9138270877580
1045060874848
1118123764240
128896967200
134331706372
14227679789a
15128ae654d3
hexa7dd66260

45060874848 has 648 divisors, whose sum is σ = 156166782408. Its totient is φ = 12213504000.

The previous prime is 45060874841. The next prime is 45060874877. The reversal of 45060874848 is 84847806054.

45060874848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 45060874794 and 45060874803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45060874841) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1099045708 + ... + 1099045748.

It is an arithmetic number, because the mean of its divisors is an integer number (240998121).

Almost surely, 245060874848 is an apocalyptic number.

45060874848 is a gapful number since it is divisible by the number (48) 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 45060874848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78083391204).

45060874848 is an abundant number, since it is smaller than the sum of its proper divisors (111105907560).

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

45060874848 is a wasteful number, since it uses less digits than its factorization.

45060874848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 45060874848 in words is "forty-five billion, sixty million, eight hundred seventy-four thousand, eight hundred forty-eight".