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45153500000 = 2556721997
BaseRepresentation
bin101010000011010110…
…111011101101100000
311022112211021110110212
4222003112323231200
51214433244000000
632424312113252
73155642263100
oct520326735540
9138484243425
1045153500000
1118170a78954
128901995828
13434796714b
142284bc9200
15129415ec35
hexa835bbb60

45153500000 has 504 divisors, whose sum is σ = 137466209160. Its totient is φ = 14515200000.

The previous prime is 45153499999. The next prime is 45153500011. The reversal of 45153500000 is 535154.

45153500000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 465499952 + ... + 465500048.

It is an arithmetic number, because the mean of its divisors is an integer number (272750415).

Almost surely, 245153500000 is an apocalyptic number.

45153500000 is a gapful number since it is divisible by the number (40) 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 45153500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68733104580).

45153500000 is an abundant number, since it is smaller than the sum of its proper divisors (92312709160).

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

45153500000 is an frugal number, since it uses more digits than its factorization.

45153500000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 23.

The spelling of 45153500000 in words is "forty-five billion, one hundred fifty-three million, five hundred thousand".