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47172175605456 = 243111972112149331
BaseRepresentation
bin10101011100111001000001…
…10001010010111011010000
320012000121122000122222102220
422232130200301102323100
522140332103423333311
6244154333122341040
712636035325600156
oct1256344061227320
9205017560588386
1047172175605456
1114037675398120
12535a34a1ba780
1320424177ba075
14b912072b53d6
1556c0cac65206
hex2ae720c52ed0

47172175605456 has 160 divisors (see below), whose sum is σ = 134247895727616. Its totient is φ = 14154627648000.

The previous prime is 47172175605437. The next prime is 47172175605461. The reversal of 47172175605456 is 65450657127174.

It is a self number, because there is not a number n which added to its sum of digits gives 47172175605456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20872711 + ... + 23022041.

Almost surely, 247172175605456 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 47172175605456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67123947863808).

47172175605456 is an abundant number, since it is smaller than the sum of its proper divisors (87075720122160).

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

47172175605456 is a wasteful number, since it uses less digits than its factorization.

47172175605456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2149761 (or 2149755 counting only the distinct ones).

The product of its (nonzero) digits is 49392000, while the sum is 60.

The spelling of 47172175605456 in words is "forty-seven trillion, one hundred seventy-two billion, one hundred seventy-five million, six hundred five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 197 211 264 394 422 528 591 633 788 844 1182 1266 1576 1688 2167 2321 2364 2532 3152 3376 4334 4642 4728 5064 6501 6963 8668 9284 9456 10128 13002 13926 17336 18568 26004 27852 34672 37136 41567 52008 55704 83134 104016 111408 124701 166268 249402 332536 457237 498804 665072 914474 997608 1371711 1828948 1995216 2149331 2743422 3657896 4298662 5486844 6447993 7315792 8597324 10973688 12895986 17194648 21947376 23642641 25791972 34389296 47285282 51583944 70927923 94570564 103167888 141855846 189141128 283711692 378282256 423418207 453508841 567423384 846836414 907017682 1134846768 1270254621 1360526523 1693672828 1814035364 2540509242 2721053046 3387345656 3628070728 4657600277 4988597251 5081018484 5442106092 6774691312 7256141456 9315200554 9977194502 10162036968 10884212184 13972800831 14965791753 18630401108 19954389004 20324073936 21768424368 27945601662 29931583506 37260802216 39908778008 55891203324 59863167012 74521604432 79817556016 89341241677 111782406648 119726334024 178682483354 223564813296 239452668048 268023725031 357364966708 536047450062 714729933416 982753658447 1072094900124 1429459866832 1965507316894 2144189800248 2948260975341 3931014633788 4288379600496 5896521950682 7862029267576 11793043901364 15724058535152 23586087802728 47172175605456