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54124334000 = 2453112460197
BaseRepresentation
bin110010011010000011…
…111100101110110000
312011201000111001020222
4302122003330232300
51341321312142000
640510412152212
73624152151062
oct623203745660
9164630431228
1054124334000
1120a54859250
12a5a6168668
135147374c49
1428963ab732
15161b9c9a85
hexc9a0fcbb0

54124334000 has 80 divisors (see below), whose sum is σ = 142770210336. Its totient is φ = 19681568000.

The previous prime is 54124333993. The next prime is 54124334003. The reversal of 54124334000 is 43342145.

54124334000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (54124334003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1208099 + ... + 1252098.

Almost surely, 254124334000 is an apocalyptic number.

54124334000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54124334000 is an abundant number, since it is smaller than the sum of its proper divisors (88645876336).

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

54124334000 is a wasteful number, since it uses less digits than its factorization.

54124334000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2460231 (or 2460215 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

Adding to 54124334000 its reverse (43342145), we get a palindrome (54167676145).

The spelling of 54124334000 in words is "fifty-four billion, one hundred twenty-four million, three hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 22000 2460197 4920394 9840788 12300985 19681576 24601970 27062167 39363152 49203940 54124334 61504925 98407880 108248668 123009850 135310835 196815760 216497336 246019700 270621670 307524625 432994672 492039400 541243340 615049250 676554175 984078800 1082486680 1230098500 1353108350 2164973360 2460197000 2706216700 3382770875 4920394000 5412433400 6765541750 10824866800 13531083500 27062167000 54124334000