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5054456851200 = 283352193153937
BaseRepresentation
bin100100110001101010100…
…0110101110101100000000
3122220012102210021210112000
41021203111012232230000
51130303011423214300
614425552503504000
71031113103234151
oct111432506565400
918805383253460
105054456851200
111679646139909
12697707458000
132a88302b0943
141368cbd8d928
158b7284cec00
hex498d51aeb00

5054456851200 has 1728 divisors, whose sum is σ = 20540885299200. Its totient is φ = 1211115110400.

The previous prime is 5054456851193. The next prime is 5054456851201. The reversal of 5054456851200 is 21586544505.

5054456851200 is a `hidden beast` number, since 5 + 0 + 5 + 445 + 6 + 85 + 120 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5054456851201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5394297132 + ... + 5394298068.

It is an arithmetic number, because the mean of its divisors is an integer number (11887086400).

Almost surely, 25054456851200 is an apocalyptic number.

5054456851200 is a gapful number since it is divisible by the number (50) 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 5054456851200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10270442649600).

5054456851200 is an abundant number, since it is smaller than the sum of its proper divisors (15486428448000).

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

5054456851200 is a wasteful number, since it uses less digits than its factorization.

5054456851200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 45.

The spelling of 5054456851200 in words is "five trillion, fifty-four billion, four hundred fifty-six million, eight hundred fifty-one thousand, two hundred".