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52221444412225 = 52112313791469341
BaseRepresentation
bin10111101111110110000001…
…01001001101001101000001
320211220022200020201210221011
423313323000221031031001
523321044004232142400
6303022111140400521
713666606034365354
oct1367730051151501
9224808606653834
1052221444412225
1115703a98a62400
125a34a480a6141
13231a5cbcac81a
14cc776221429b
156085eda468ba
hex2f7ec0a4d341

52221444412225 has 72 divisors (see below), whose sum is σ = 73666460322560. Its totient is φ = 36657094320000.

The previous prime is 52221444412183. The next prime is 52221444412301.

52221444412225 is nontrivially palindromic in base 10.

52221444412225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 52221444412225 - 27 = 52221444412097 is a prime.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 34806055 + ... + 36275395.

Almost surely, 252221444412225 is an apocalyptic number.

52221444412225 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52221444412225 is a deficient number, since it is larger than the sum of its proper divisors (21445015910335).

52221444412225 is a wasteful number, since it uses less digits than its factorization.

52221444412225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469783 (or 1469767 counting only the distinct ones).

The product of its digits is 409600, while the sum is 40.

It can be divided in two parts, 5222144 and 4412225, that added together give a palindrome (9634369).

The spelling of 52221444412225 in words is "fifty-two trillion, two hundred twenty-one billion, four hundred forty-four million, four hundred twelve thousand, two hundred twenty-five".

Divisors: 1 5 11 25 31 55 121 155 275 341 379 605 775 1705 1895 3025 3751 4169 8525 9475 11749 18755 20845 45859 58745 93775 104225 129239 229295 293725 646195 1146475 1421629 1469341 3230975 7108145 7346705 16162751 35540725 36733525 45549571 80813755 177790261 227747855 404068775 501045281 556880239 888951305 1138739275 2505226405 2784401195 4444756525 5511498091 6125682629 12526132025 13922005975 17263287409 27557490455 30628413145 67382508919 86316437045 137787452275 153142065725 189896161499 336912544595 431582185225 949480807495 1684562722975 2088857776489 4747404037475 10444288882445 52221444412225