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4253378266384 = 2413217223332
BaseRepresentation
bin111101111001010001000…
…110011100010100010000
3120001121201020121021022121
4331321101012130110100
51024141404314011014
613013550333344024
7616203451511032
oct75712106342420
916047636537277
104253378266384
11139a936167405
125883bb938014
1324b126a40c00
14109c166a1c52
1575990687124
hex3de5119c510

4253378266384 has 135 divisors (see below), whose sum is σ = 9483460274253. Its totient is φ = 1846829377536.

The previous prime is 4253378266327. The next prime is 4253378266409. The reversal of 4253378266384 is 4836628733524.

The square root of 4253378266384 is 2062372.

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

It can be written as a sum of positive squares in 13 ways, for example, as 3167047344400 + 1086330921984 = 1779620^2 + 1042272^2 .

It is a super-3 number, since 3×42533782663843 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 1823135682 + ... + 1823138014.

Almost surely, 24253378266384 is an apocalyptic number.

4253378266384 is the 2062372-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4253378266384

4253378266384 is an abundant number, since it is smaller than the sum of its proper divisors (5230082007869).

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

4253378266384 is an equidigital number, since it uses as much as digits as its factorization.

4253378266384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4734 (or 2365 counting only the distinct ones).

The product of its digits is 139345920, while the sum is 61.

The spelling of 4253378266384 in words is "four trillion, two hundred fifty-three billion, three hundred seventy-eight million, two hundred sixty-six thousand, three hundred eighty-four".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 169 208 221 272 289 338 442 578 676 884 1156 1352 1768 2312 2333 2704 2873 3536 3757 4624 4666 5746 7514 9332 11492 15028 18664 22984 30056 30329 37328 39661 45968 48841 60112 60658 79322 97682 121316 158644 195364 242632 317288 390728 394277 485264 515593 634576 674237 781456 788554 1031186 1348474 1577108 2062372 2696948 3154216 4124744 5393896 5442889 6308432 6702709 8249488 8765081 10787792 10885778 13405418 17530162 21771556 26810836 35060324 43543112 53621672 70120648 70757557 87086224 92529113 107243344 113946053 140241296 141515114 185058226 227892106 283030228 370116452 455784212 566060456 740232904 911568424 919848241 1132120912 1202878469 1480465808 1572994921 1823136848 1839696482 2405756938 3145989842 3679392964 4811513876 6291979684 7358785928 9623027752 12583959368 14717571856 15637420097 19246055504 20448933973 25167918736 31274840194 40897867946 62549680388 81795735892 125099360776 163591471784 250198721552 265836141649 327182943568 531672283298 1063344566596 2126689133192 4253378266384