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272603216075316 = 223717243372589193
BaseRepresentation
bin111101111110111001100001…
…110110111101101000110100
31022202012121112211120021202220
4331332321201312331220310
5241212312341303402231
62403440104424002340
7111263634551445540
oct7576714166755064
91282177484507686
10272603216075316
11799504137a5835
12266a83b56003b0
13b9154b0563b99
144b460cd390a20
15217b07de06896
hexf7ee61dbda34

272603216075316 has 144 divisors (see below), whose sum is σ = 772396920199296. Its totient is φ = 73288135950336.

The previous prime is 272603216075303. The next prime is 272603216075413. The reversal of 272603216075316 is 613570612306272.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103990416 + ... + 106579608.

It is an arithmetic number, because the mean of its divisors is an integer number (5363867501384).

Almost surely, 2272603216075316 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 272603216075316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386198460099648).

272603216075316 is an abundant number, since it is smaller than the sum of its proper divisors (499793704123980).

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

272603216075316 is a wasteful number, since it uses less digits than its factorization.

272603216075316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2593578 (or 2593559 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 51.

The spelling of 272603216075316 in words is "two hundred seventy-two trillion, six hundred three billion, two hundred sixteen million, seventy-five thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 289 357 476 578 714 867 1156 1428 1734 2023 3468 4046 4337 6069 8092 8674 12138 13011 17348 24276 26022 30359 52044 60718 73729 91077 121436 147458 182154 221187 294916 364308 442374 516103 884748 1032206 1253393 1548309 2064412 2506786 2589193 3096618 3760179 5013572 5178386 6193236 7520358 7767579 8773751 10356772 15040716 15535158 17547502 18124351 26321253 31070316 35095004 36248702 44016281 52642506 54373053 72497404 88032562 105285012 108746106 132048843 176065124 217492212 264097686 308113967 528195372 616227934 748276777 924341901 1232455868 1496553554 1848683802 2244830331 2993107108 3697367604 4489660662 5237937439 8979321324 10475874878 11229330041 15713812317 20951749756 22458660082 31427624634 33687990123 44917320164 62855249268 67375980246 78605310287 134751960492 157210620574 190898610697 235815930861 314421241148 381797221394 471631861722 572695832091 763594442788 943263723444 1145391664182 1336290274879 2290783328364 2672580549758 3245276381849 4008870824637 5345161099516 6490552763698 8017741649274 9735829145547 12981105527396 16035483298548 19471658291094 22716934672943 38943316582188 45433869345886 68150804018829 90867738691772 136301608037658 272603216075316