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493189231248 = 24337223298811
BaseRepresentation
bin1110010110101000101…
…11100111001010010000
31202011000012112210221000
413023110113213022100
531040022420344443
61014322404502000
750426455203600
oct7132427471220
91664005483830
10493189231248
1118018451109a
127b7000aa900
133767a0cb6ac
1419c28884c00
15cc67c478d3
hex72d45e7290

493189231248 has 120 divisors (see below), whose sum is σ = 1646760032160. Its totient is φ = 140911202880.

The previous prime is 493189231217. The next prime is 493189231261. The reversal of 493189231248 is 842132981394.

493189231248 is a `hidden beast` number, since 4 + 9 + 318 + 9 + 2 + 312 + 4 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 493189231194 and 493189231203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11628238 + ... + 11670573.

It is an arithmetic number, because the mean of its divisors is an integer number (13723000268).

Almost surely, 2493189231248 is an apocalyptic number.

493189231248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

493189231248 is an abundant number, since it is smaller than the sum of its proper divisors (1153570800912).

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

493189231248 is a wasteful number, since it uses less digits than its factorization.

493189231248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23298842 (or 23298823 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 493189231248 in words is "four hundred ninety-three billion, one hundred eighty-nine million, two hundred thirty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 144 147 168 189 196 216 252 294 336 378 392 432 441 504 588 756 784 882 1008 1176 1323 1512 1764 2352 2646 3024 3528 5292 7056 10584 21168 23298811 46597622 69896433 93195244 139792866 163091677 186390488 209689299 279585732 326183354 372780976 419378598 489275031 559171464 629067897 652366708 838757196 978550062 1118342928 1141641739 1258135794 1304733416 1467825093 1677514392 1957100124 2283283478 2516271588 2609466832 2935650186 3355028784 3424925217 3914200248 4403475279 4566566956 5032543176 5871300372 6849850434 7828400496 8806950558 9133133912 10065086352 10274775651 11742600744 13699700868 17613901116 18266267824 20549551302 23485201488 27399401736 30824326953 35227802232 41099102604 54798803472 61648653906 70455604464 82198205208 123297307812 164396410416 246594615624 493189231248