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12275753616 = 24327213192
BaseRepresentation
bin10110110111011000…
…10010001010010000
31011200111222220012100
423123230102022100
5200120043103431
65350040000400
7613130120100
oct133354221220
934614886170
1012275753616
11522a385425
122467160100
131208323449
148464bd200
154bca904e6
hex2dbb12290

12275753616 has 135 divisors (see below), whose sum is σ = 39994371651. Its totient is φ = 3504699072.

The previous prime is 12275753573. The next prime is 12275753663. The reversal of 12275753616 is 61635757221.

It is a happy number.

The square root of 12275753616 is 110796.

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

12275753616 is a `hidden beast` number, since 1 + 2 + 27 + 5 + 7 + 5 + 3 + 616 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9306205 + ... + 9307523.

Almost surely, 212275753616 is an apocalyptic number.

12275753616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12275753616 is the 110796-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12275753616

12275753616 is an abundant number, since it is smaller than the sum of its proper divisors (27718618035).

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

12275753616 is an equidigital number, since it uses as much as digits as its factorization.

12275753616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2666 (or 1331 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The spelling of 12275753616 in words is "twelve billion, two hundred seventy-five million, seven hundred fifty-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1319 1764 2352 2638 3528 3957 5276 7056 7914 9233 10552 11871 15828 18466 21104 23742 27699 31656 36932 47484 55398 63312 64631 73864 83097 94968 110796 129262 147728 166194 189936 193893 221592 258524 332388 387786 443184 517048 581679 664776 775572 1034096 1163358 1329552 1551144 1739761 2326716 3102288 3479522 4653432 5219283 6959044 9306864 10438566 12178327 13918088 15657849 20877132 24356654 27836176 31315698 36534981 41754264 48713308 62631396 73069962 83508528 85248289 97426616 109604943 125262792 146139924 170496578 194853232 219209886 250525584 255744867 292279848 340993156 438419772 511489734 584559696 681986312 767234601 876839544 1022979468 1363972624 1534469202 1753679088 2045958936 3068938404 4091917872 6137876808 12275753616