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54841375200 = 25352199114827
BaseRepresentation
bin110011000100110011…
…001111100111100000
312020112222201111212110
4303010303033213200
51344303343001300
641105504555320
73651006666153
oct630463174740
9166488644773
1054841375200
1121292587987
12a766322b40
13522ca9ca91
1429236ddc9a
15165e916550
hexcc4ccf9e0

54841375200 has 144 divisors (see below), whose sum is σ = 179407267200. Its totient is φ = 14550750720.

The previous prime is 54841375181. The next prime is 54841375261. The reversal of 54841375200 is 257314845.

54841375200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 420187 + ... + 535013.

It is an arithmetic number, because the mean of its divisors is an integer number (1245883800).

Almost surely, 254841375200 is an apocalyptic number.

54841375200 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 54841375200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89703633600).

54841375200 is an abundant number, since it is smaller than the sum of its proper divisors (124565892000).

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

54841375200 is a wasteful number, since it uses less digits than its factorization.

54841375200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115049 (or 115036 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The spelling of 54841375200 in words is "fifty-four billion, eight hundred forty-one million, three hundred seventy-five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 199 200 240 300 398 400 480 597 600 796 800 995 1194 1200 1592 1990 2388 2400 2985 3184 3980 4776 4975 5970 6368 7960 9552 9950 11940 14925 15920 19104 19900 23880 29850 31840 39800 47760 59700 79600 95520 114827 119400 159200 229654 238800 344481 459308 477600 574135 688962 918616 1148270 1377924 1722405 1837232 2296540 2755848 2870675 3444810 3674464 4593080 5511696 5741350 6889620 8612025 9186160 11023392 11482700 13779240 17224050 18372320 22850573 22965400 27558480 34448100 45701146 45930800 55116960 68551719 68896200 91402292 91861600 114252865 137103438 137792400 182804584 228505730 274206876 275584800 342758595 365609168 457011460 548413752 571264325 685517190 731218336 914022920 1096827504 1142528650 1371034380 1713792975 1828045840 2193655008 2285057300 2742068760 3427585950 3656091680 4570114600 5484137520 6855171900 9140229200 10968275040 13710343800 18280458400 27420687600 54841375200