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55605410524242 = 237172341319439
BaseRepresentation
bin11001010010010101001001…
…01111011110110001010010
321021212211021122222120000000
430221022210233132301102
524242014340043233432
6314132434542310430
714466233623632405
oct1451124457366122
9237784248876000
1055605410524242
111679913867a087
1262a084b588416
13250474c35ac77
14da345da39d3c
156666571e757c
hex3292a4bdec52

55605410524242 has 128 divisors (see below), whose sum is σ = 132508516377600. Its totient is φ = 17437328213760.

The previous prime is 55605410524129. The next prime is 55605410524249. The reversal of 55605410524242 is 24242501450655.

55605410524242 is a `hidden beast` number, since 5 + 5 + 60 + 5 + 41 + 0 + 524 + 24 + 2 = 666.

55605410524242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (55605410524249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 173912359 + ... + 174231797.

It is an arithmetic number, because the mean of its divisors is an integer number (1035222784200).

Almost surely, 255605410524242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55605410524242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66254258188800).

55605410524242 is an abundant number, since it is smaller than the sum of its proper divisors (76903105853358).

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

55605410524242 is a wasteful number, since it uses less digits than its factorization.

55605410524242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321820 (or 321802 counting only the distinct ones).

The product of its (nonzero) digits is 1920000, while the sum is 45.

Adding to 55605410524242 its reverse (24242501450655), we get a palindrome (79847911974897).

The spelling of 55605410524242 in words is "fifty-five trillion, six hundred five billion, four hundred ten million, five hundred twenty-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 243 306 459 486 729 918 1377 1458 2187 2341 2754 4131 4374 4682 7023 8262 12393 14046 21069 24786 37179 39797 42138 63207 74358 79594 119391 126414 189621 238782 319439 358173 379242 568863 638878 716346 958317 1074519 1137726 1706589 1916634 2149038 2874951 3223557 3413178 5119767 5430463 5749902 6447114 8624853 9670671 10239534 10860926 16291389 17249706 19341342 25874559 29012013 32582778 48874167 51749118 58024026 77623677 87036039 97748334 146622501 155247354 174072078 232871031 293245002 439867503 465742062 698613093 747806699 879735006 1319602509 1397226186 1495613398 2243420097 2639205018 3958807527 4486840194 6730260291 7917615054 11876422581 12712713883 13460520582 20190780873 23752845162 25425427766 38138141649 40381561746 60572342619 76276283298 114414424947 121144685238 181717027857 228828849894 343243274841 363434055714 545151083571 686486549682 1029729824523 1090302167142 1635453250713 2059459649046 3089189473569 3270906501426 6178378947138 9267568420707 18535136841414 27802705262121 55605410524242