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280493107456 = 287924192
BaseRepresentation
bin1000001010011101011…
…00010010100100000000
3222211000001021012202111
410011032230102210000
514043422213414311
6332505020425104
726156611034452
oct4051654224400
9884001235674
10280493107456
11a8a58057201
12464406a8194
13205b1664a43
14d80c53a2d2
157469d98d21
hex414eb12900

280493107456 has 81 divisors (see below), whose sum is σ = 568424085411. Its totient is φ = 138140800512.

The previous prime is 280493107441. The next prime is 280493107481. The reversal of 280493107456 is 654701394082.

It is a happy number.

The square root of 280493107456 is 529616.

It is a perfect power (a square), and thus also a powerful number.

280493107456 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 669434415 + ... + 669434833.

It is a 1-persistent number, because it is pandigital, but 2⋅280493107456 = 560986214912 is not.

Almost surely, 2280493107456 is an apocalyptic number.

280493107456 is the 529616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 280493107456

280493107456 is an abundant number, since it is smaller than the sum of its proper divisors (287930977955).

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

280493107456 is an frugal number, since it uses more digits than its factorization.

280493107456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

Multiplying 280493107456 by its sum of digits (49), we get a square (13744162265344 = 37073122).

The spelling of 280493107456 in words is "two hundred eighty billion, four hundred ninety-three million, one hundred seven thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 79 128 158 256 316 419 632 838 1264 1676 2528 3352 5056 6241 6704 10112 12482 13408 20224 24964 26816 33101 49928 53632 66202 99856 107264 132404 175561 199712 264808 351122 399424 529616 702244 798848 1059232 1404488 1597696 2118464 2614979 2808976 4236928 5229958 5617952 8473856 10459916 11235904 13869319 20919832 22471808 27738638 41839664 44943616 55477276 83679328 110954552 167358656 221909104 334717312 443818208 669434624 887636416 1095676201 1775272832 2191352402 3550545664 4382704804 8765409608 17530819216 35061638432 70123276864 140246553728 280493107456