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54045235100 = 22526779102107
BaseRepresentation
bin110010010101010110…
…001101011110011100
312011111111122101222002
4302111112031132130
51341141040010400
640454504541432
73622201630043
oct622526153634
9164444571862
1054045235100
1120a1414305a
12a583781878
135133b6ba6c
142889a9b55a
151614aa2ed5
hexc9558d79c

54045235100 has 72 divisors (see below), whose sum is σ = 120536451840. Its totient is φ = 21025667520.

The previous prime is 54045235061. The next prime is 54045235103. The reversal of 54045235100 is 153254045.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54045235103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 478247 + ... + 580353.

Almost surely, 254045235100 is an apocalyptic number.

54045235100 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 54045235100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60268225920).

54045235100 is an abundant number, since it is smaller than the sum of its proper divisors (66491216740).

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

54045235100 is a wasteful number, since it uses less digits than its factorization.

54045235100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102267 (or 102260 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 29.

Adding to 54045235100 its reverse (153254045), we get a palindrome (54198489145).

The spelling of 54045235100 in words is "fifty-four billion, forty-five million, two hundred thirty-five thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 67 79 100 134 158 268 316 335 395 670 790 1340 1580 1675 1975 3350 3950 5293 6700 7900 10586 21172 26465 52930 102107 105860 132325 204214 264650 408428 510535 529300 1021070 2042140 2552675 5105350 6841169 8066453 10210700 13682338 16132906 27364676 32265812 34205845 40332265 68411690 80664530 136823380 161329060 171029225 201661325 342058450 403322650 540452351 684116900 806645300 1080904702 2161809404 2702261755 5404523510 10809047020 13511308775 27022617550 54045235100