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52206573232752 = 24361131499272761
BaseRepresentation
bin10111101111011010010100…
…10000001010001001110000
320211211220021211222121210020
423313231022100022021300
523320323030221422002
6303011211343403440
713665541360425111
oct1367551220121160
9224756254877706
1052206573232752
11156a8757627134
125a31b978b3580
13231909c058443
14cc6b51164208
1560802d1cb2bc
hex2f7b4a40a270

52206573232752 has 160 divisors (see below), whose sum is σ = 138401620896000. Its totient is φ = 16952143104000.

The previous prime is 52206573232633. The next prime is 52206573232753. The reversal of 52206573232752 is 25723237560225.

It is a super-3 number, since 3×522065732327523 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 52206573232695 and 52206573232704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52206573232753) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191264052 + ... + 191536812.

It is an arithmetic number, because the mean of its divisors is an integer number (865010130600).

Almost surely, 252206573232752 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 52206573232752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69200810448000).

52206573232752 is an abundant number, since it is smaller than the sum of its proper divisors (86195047663248).

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

52206573232752 is a wasteful number, since it uses less digits than its factorization.

52206573232752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273463 (or 273457 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 51.

The spelling of 52206573232752 in words is "fifty-two trillion, two hundred six billion, five hundred seventy-three million, two hundred thirty-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 131 183 244 262 366 393 488 499 524 732 786 976 998 1048 1464 1497 1572 1996 2096 2928 2994 3144 3992 5988 6288 7984 7991 11976 15982 23952 23973 30439 31964 47946 60878 63928 65369 91317 95892 121756 127856 130738 182634 191784 196107 243512 261476 272761 365268 383568 392214 487024 522952 545522 730536 784428 818283 1045904 1091044 1461072 1568856 1636566 2182088 3137712 3273132 3987509 4364176 6546264 7975018 11962527 13092528 15950036 16638421 23925054 31900072 33276842 35731691 47850108 49915263 63800144 66553684 71463382 95700216 99830526 107195073 133107368 136107739 142926764 191400432 199661052 214390146 266214736 272215478 285853528 399322104 408323217 428780292 544430956 571707056 798644208 816646434 857560584 1088861912 1633292868 1715121168 2177723824 2179633151 3266585736 4359266302 6533171472 6538899453 8302572079 8718532604 13077798906 16605144158 17437065208 17830113809 24907716237 26155597812 33210288316 34874130416 35660227618 49815432474 52311195624 53490341427 66420576632 71320455236 99630864948 104622391248 106980682854 132841153264 142640910472 199261729896 213961365708 285281820944 398523459792 427922731416 855845462832 1087636942349 2175273884698 3262910827047 4350547769396 6525821654094 8701095538792 13051643308188 17402191077584 26103286616376 52206573232752