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54000515300 = 225217293108413
BaseRepresentation
bin110010010010101011…
…100111100011100100
312011101101111101221012
4302102223213203210
51341043112442200
640450230241352
73621116543444
oct622253474344
9164341441835
1054000515300
11209a0979446
12a5707b6258
135127811b44
142883b7a124
151610bbca35
hexc92ae78e4

54000515300 has 72 divisors (see below), whose sum is σ = 124498734696. Its totient is φ = 20260034560.

The previous prime is 54000515297. The next prime is 54000515363. The reversal of 54000515300 is 351500045.

54000515300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 4407897664 + 49592617636 = 66392^2 + 222694^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 443894 + ... + 552306.

It is an arithmetic number, because the mean of its divisors is an integer number (1729149093).

Almost surely, 254000515300 is an apocalyptic number.

54000515300 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 54000515300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62249367348).

54000515300 is an abundant number, since it is smaller than the sum of its proper divisors (70498219396).

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

54000515300 is a wasteful number, since it uses less digits than its factorization.

54000515300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108737 (or 108730 counting only the distinct ones).

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

The spelling of 54000515300 in words is "fifty-four billion, five hundred fifteen thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 293 340 425 586 850 1172 1465 1700 2930 4981 5860 7325 9962 14650 19924 24905 29300 49810 99620 108413 124525 216826 249050 433652 498100 542065 1084130 1843021 2168260 2710325 3686042 5420650 7372084 9215105 10841300 18430210 31765009 36860420 46075525 63530018 92151050 127060036 158825045 184302100 317650090 540005153 635300180 794125225 1080010306 1588250450 2160020612 2700025765 3176500900 5400051530 10800103060 13500128825 27000257650 54000515300