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57809975952080 = 24511127517268933
BaseRepresentation
bin11010010010011111011110…
…00101001100001011010000
321120200120122121202212002102
431021033233011030023100
530034124312320431310
6322541311502335532
715114430044606632
oct1511175705141320
9246616577685072
1057809975952080
111746908935a620
126597b63b8a5a8
1326345c3a156a1
14103c036a68a52
156a3b8435d8a5
hex3493ef14c2d0

57809975952080 has 80 divisors (see below), whose sum is σ = 147781665368064. Its totient is φ = 20856283338240.

The previous prime is 57809975952077. The next prime is 57809975952083. The reversal of 57809975952080 is 8025957990875.

It is an interprime number because it is at equal distance from previous prime (57809975952077) and next prime (57809975952083).

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 57809975951989 and 57809975952007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57809975952083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 258522707 + ... + 258746226.

Almost surely, 257809975952080 is an apocalyptic number.

It is an amenable number.

57809975952080 is an abundant number, since it is smaller than the sum of its proper divisors (89971689415984).

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

57809975952080 is a wasteful number, since it uses less digits than its factorization.

57809975952080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517269084 (or 517269078 counting only the distinct ones).

The product of its (nonzero) digits is 571536000, while the sum is 74.

The spelling of 57809975952080 in words is "fifty-seven trillion, eight hundred nine billion, nine hundred seventy-five million, nine hundred fifty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 127 176 220 254 440 508 635 880 1016 1270 1397 2032 2540 2794 5080 5588 6985 10160 11176 13970 22352 27940 55880 111760 517268933 1034537866 2069075732 2586344665 4138151464 5172689330 5689958263 8276302928 10345378660 11379916526 20690757320 22759833052 28449791315 41381514640 45519666104 56899582630 65693154491 91039332208 113799165260 131386308982 227598330520 262772617964 328465772455 455196661040 525545235928 656931544910 722624699401 1051090471856 1313863089820 1445249398802 2627726179640 2890498797604 3613123497005 5255452359280 5780997595208 7226246994010 11561995190416 14452493988020 28904987976040 57809975952080