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54244888800 = 25352193117109
BaseRepresentation
bin110010100001001111…
…110101000011100000
312012000102022212100120
4302201033311003200
51342043142420200
640530400120240
73630144642564
oct624117650340
9165012285316
1054244888800
1121006909913
12a61a606080
13516633454b
1428a83cd6a4
15162738e9a0
hexca13f50e0

54244888800 has 144 divisors (see below), whose sum is σ = 177483484080. Its totient is φ = 14390231040.

The previous prime is 54244888703. The next prime is 54244888801. The reversal of 54244888800 is 888844245.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54244888801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 404646 + ... + 521754.

It is an arithmetic number, because the mean of its divisors is an integer number (1232524195).

Almost surely, 254244888800 is an apocalyptic number.

54244888800 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 54244888800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88741742040).

54244888800 is an abundant number, since it is smaller than the sum of its proper divisors (123238595280).

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

54244888800 is a wasteful number, since it uses less digits than its factorization.

54244888800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117325 (or 117312 counting only the distinct ones).

The product of its (nonzero) digits is 2621440, while the sum is 51.

The spelling of 54244888800 in words is "fifty-four billion, two hundred forty-four million, eight hundred eighty-eight thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 193 200 240 300 386 400 480 579 600 772 800 965 1158 1200 1544 1930 2316 2400 2895 3088 3860 4632 4825 5790 6176 7720 9264 9650 11580 14475 15440 18528 19300 23160 28950 30880 38600 46320 57900 77200 92640 115800 117109 154400 231600 234218 351327 463200 468436 585545 702654 936872 1171090 1405308 1756635 1873744 2342180 2810616 2927725 3513270 3747488 4684360 5621232 5855450 7026540 8783175 9368720 11242464 11710900 14053080 17566350 18737440 22602037 23421800 28106160 35132700 45204074 46843600 56212320 67806111 70265400 90408148 93687200 113010185 135612222 140530800 180816296 226020370 271224444 281061600 339030555 361632592 452040740 542448888 565050925 678061110 723265184 904081480 1084897776 1130101850 1356122220 1695152775 1808162960 2169795552 2260203700 2712244440 3390305550 3616325920 4520407400 5424488880 6780611100 9040814800 10848977760 13561222200 18081629600 27122444400 54244888800