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54017420000 = 255415717203
BaseRepresentation
bin110010010011101100…
…000110101011100000
312011102120022020211012
4302103230012223200
51341111424420000
640452032440052
73621413331335
oct622354065340
9164376266735
1054017420000
11209aa475175
12a5763a9028
13512b18041b
1428860da98c
15161240b735
hexc93b06ae0

54017420000 has 120 divisors (see below), whose sum is σ = 133745169096. Its totient is φ = 21468096000.

The previous prime is 54017419999. The next prime is 54017420003. The reversal of 54017420000 is 2471045.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54017420003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3131399 + ... + 3148601.

Almost surely, 254017420000 is an apocalyptic number.

54017420000 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 54017420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66872584548).

54017420000 is an abundant number, since it is smaller than the sum of its proper divisors (79727749096).

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

54017420000 is a wasteful number, since it uses less digits than its factorization.

54017420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17390 (or 17367 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

Adding to 54017420000 its reverse (2471045), we get a palindrome (54019891045).

The spelling of 54017420000 in words is "fifty-four billion, seventeen million, four hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 157 160 200 250 314 400 500 625 628 785 800 1000 1250 1256 1570 2000 2500 2512 3140 3925 4000 5000 5024 6280 7850 10000 12560 15700 17203 19625 20000 25120 31400 34406 39250 62800 68812 78500 86015 98125 125600 137624 157000 172030 196250 275248 314000 344060 392500 430075 550496 628000 688120 785000 860150 1376240 1570000 1720300 2150375 2700871 2752480 3140000 3440600 4300750 5401742 6881200 8601500 10751875 10803484 13504355 13762400 17203000 21503750 21606968 27008710 34406000 43007500 43213936 54017420 67521775 68812000 86015000 86427872 108034840 135043550 172030000 216069680 270087100 337608875 344060000 432139360 540174200 675217750 1080348400 1350435500 1688044375 2160696800 2700871000 3376088750 5401742000 6752177500 10803484000 13504355000 27008710000 54017420000