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47982281000 = 2353435918913
BaseRepresentation
bin101100101011111101…
…111000000100101000
311120211222010102111112
4230223331320010220
51241231430443000
634013122445452
73316021442033
oct545375700450
9146758112445
1047982281000
1119392823995
129371203888
1346a8a30564
14247278201a
1513ac682235
hexb2bf78128

47982281000 has 128 divisors (see below), whose sum is σ = 116843126400. Its totient is φ = 18427852800.

The previous prime is 47982280999. The next prime is 47982281029. The reversal of 47982281000 is 18228974.

47982281000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×479822810002 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2527544 + ... + 2546456.

It is an arithmetic number, because the mean of its divisors is an integer number (912836925).

Almost surely, 247982281000 is an apocalyptic number.

47982281000 is a gapful number since it is divisible by the number (40) 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 47982281000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58421563200).

47982281000 is an abundant number, since it is smaller than the sum of its proper divisors (68860845400).

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

47982281000 is a wasteful number, since it uses less digits than its factorization.

47982281000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19036 (or 19022 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 41.

The spelling of 47982281000 in words is "forty-seven billion, nine hundred eighty-two million, two hundred eighty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 59 86 100 118 125 172 200 215 236 250 295 344 430 472 500 590 860 1000 1075 1180 1475 1720 2150 2360 2537 2950 4300 5074 5375 5900 7375 8600 10148 10750 11800 12685 14750 18913 20296 21500 25370 29500 37826 43000 50740 59000 63425 75652 94565 101480 126850 151304 189130 253700 317125 378260 472825 507400 634250 756520 813259 945650 1115867 1268500 1626518 1891300 2231734 2364125 2537000 3253036 3782600 4066295 4463468 4728250 5579335 6506072 8132590 8926936 9456500 11158670 16265180 18913000 20331475 22317340 27896675 32530360 40662950 44634680 47982281 55793350 81325900 95964562 101657375 111586700 139483375 162651800 191929124 203314750 223173400 239911405 278966750 383858248 406629500 479822810 557933500 813259000 959645620 1115867000 1199557025 1919291240 2399114050 4798228100 5997785125 9596456200 11995570250 23991140500 47982281000