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285483096216 = 233331211202061
BaseRepresentation
bin1000010011110000001…
…11100101100010011000
31000021212210210220111000
410021320013211202120
514134132133034331
6335052113305000
726424352164603
oct4117007454230
91007783726430
10285483096216
1110008884665a
12473b3865160
1320bc83c9906
14db6315333a
15765cec40e6
hex42781e5898

285483096216 has 128 divisors (see below), whose sum is σ = 822473164800. Its totient is φ = 91654416000.

The previous prime is 285483096203. The next prime is 285483096229. The reversal of 285483096216 is 612690384582.

285483096216 is a `hidden beast` number, since 2 + 8 + 5 + 4 + 8 + 3 + 0 + 9 + 621 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (285483096203) and next prime (285483096229).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 1311826 + ... + 1513886.

It is an arithmetic number, because the mean of its divisors is an integer number (6425571600).

Almost surely, 2285483096216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285483096216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411236582400).

285483096216 is an abundant number, since it is smaller than the sum of its proper divisors (536990068584).

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

285483096216 is a wasteful number, since it uses less digits than its factorization.

285483096216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202318 (or 202308 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 285483096216 in words is "two hundred eighty-five billion, four hundred eighty-three million, ninety-six thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 186 211 216 248 279 372 422 558 633 744 837 844 1116 1266 1674 1688 1899 2232 2532 3348 3798 5064 5697 6541 6696 7596 11394 13082 15192 19623 22788 26164 39246 45576 52328 58869 78492 117738 156984 176607 202061 235476 353214 404122 470952 606183 706428 808244 1212366 1412856 1616488 1818549 2424732 3637098 4849464 5455647 6263891 7274196 10911294 12527782 14548392 18791673 21822588 25055564 37583346 42634871 43645176 50111128 56375019 75166692 85269742 112750038 127904613 150333384 169125057 170539484 225500076 255809226 338250114 341078968 383713839 451000152 511618452 676500228 767427678 1023236904 1151141517 1321681001 1353000456 1534855356 2302283034 2643362002 3069710712 3965043003 4604566068 5286724004 7930086006 9209132136 10573448008 11895129009 15860172012 23790258018 31720344024 35685387027 47580516036 71370774054 95161032072 142741548108 285483096216