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56760143000 = 2353118596007
BaseRepresentation
bin110100110111001010…
…110000110010011000
312102111201020000110112
4310313022300302120
51412221044034000
642024130503452
74046366153321
oct646712606230
9172451200415
1056760143000
11220876915a0
12b000a34b88
135477474c42
142a66491448
1517230d0235
hexd372b0c98

56760143000 has 128 divisors (see below), whose sum is σ = 145085990400. Its totient is φ = 20612592000.

The previous prime is 56760142949. The next prime is 56760143023. The reversal of 56760143000 is 34106765.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9445997 + ... + 9452003.

It is an arithmetic number, because the mean of its divisors is an integer number (1133484300).

Almost surely, 256760143000 is an apocalyptic number.

56760143000 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 56760143000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72542995200).

56760143000 is an abundant number, since it is smaller than the sum of its proper divisors (88325847400).

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

56760143000 is a wasteful number, since it uses less digits than its factorization.

56760143000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6898 (or 6884 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

Adding to 56760143000 its reverse (34106765), we get a palindrome (56794249765).

The spelling of 56760143000 in words is "fifty-six billion, seven hundred sixty million, one hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 859 1000 1100 1375 1718 2200 2750 3436 4295 5500 6007 6872 8590 9449 11000 12014 17180 18898 21475 24028 30035 34360 37796 42950 47245 48056 60070 66077 75592 85900 94490 107375 120140 132154 150175 171800 188980 214750 236225 240280 264308 300350 330385 377960 429500 472450 528616 600700 660770 750875 859000 944900 1181125 1201400 1321540 1501750 1651925 1889800 2362250 2643080 3003500 3303850 4724500 5160013 6007000 6607700 8259625 9449000 10320026 13215400 16519250 20640052 25800065 33038500 41280104 51600130 56760143 66077000 103200260 113520286 129000325 206400520 227040572 258000650 283800715 454081144 516001300 567601430 645001625 1032002600 1135202860 1290003250 1419003575 2270405720 2580006500 2838007150 5160013000 5676014300 7095017875 11352028600 14190035750 28380071500 56760143000