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53210335105242 = 23371017971748737
BaseRepresentation
bin11000001100100111111110…
…00111110101000011011010
320222101212011202000222012000
430012103333013311003122
523433244231241331432
6305100253540101430
714131214464524330
oct1406237707650332
9228355152028160
1053210335105242
1115a55415a81557
125b74629694876
13238c9367cbc23
14d1d573055b50
156241c9d2b57c
hex3064ff1f50da

53210335105242 has 128 divisors (see below), whose sum is σ = 136646667118080. Its totient is φ = 15033533644800.

The previous prime is 53210335105177. The next prime is 53210335105289. The reversal of 53210335105242 is 24250153301235.

53210335105242 is a `hidden beast` number, since 5 + 3 + 21 + 0 + 33 + 510 + 52 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 53210335105197 and 53210335105206.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29553498 + ... + 31302234.

It is an arithmetic number, because the mean of its divisors is an integer number (1067552086860).

Almost surely, 253210335105242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53210335105242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68323333559040).

53210335105242 is an abundant number, since it is smaller than the sum of its proper divisors (83436332012838).

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

53210335105242 is a wasteful number, since it uses less digits than its factorization.

53210335105242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1749653 (or 1749647 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 53210335105242 its reverse (24250153301235), we get a palindrome (77460488406477).

The spelling of 53210335105242 in words is "fifty-three trillion, two hundred ten billion, three hundred thirty-five million, one hundred five thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 101 126 189 202 303 378 606 707 797 909 1414 1594 1818 2121 2391 2727 4242 4782 5454 5579 6363 7173 11158 12726 14346 16737 19089 21519 33474 38178 43038 50211 80497 100422 150633 160994 241491 301266 482982 563479 724473 1126958 1448946 1690437 1748737 2173419 3380874 3497474 4346838 5071311 5246211 10142622 10492422 12241159 15213933 15738633 24482318 30427866 31477266 36723477 47215899 73446954 94431798 110170431 176622437 220340862 330511293 353244874 529867311 661022586 1059734622 1236357059 1393743389 1589601933 2472714118 2787486778 3179203866 3709071177 4181230167 4768805799 7418142354 8362460334 9537611598 9756203723 11127213531 12543690501 19512407446 22254427062 25087381002 29268611169 33381640593 37631071503 58537222338 66763281186 75262143006 87805833507 140768082289 175611667014 263417500521 281536164578 422304246867 526835001042 844608493734 985376576023 1266912740601 1970753152046 2533825481202 2956129728069 3800738221803 5912259456138 7601476443606 8868389184207 17736778368414 26605167552621 53210335105242