Search a number
-
+
55353220631841 = 31121710387086357
BaseRepresentation
bin11001001010111111011010…
…00011011000110100100001
321020222201100010012122020210
430211133231003120310201
524223401343440204331
6313420530221524333
714442065260131606
oct1445375503306441
9236881303178223
1055353220631841
1116701194a9a300
12625b9a97136a9
1324b6a2b699272
14d9517845c6ad
1565ece700b446
hex3257ed0d8d21

55353220631841 has 48 divisors (see below), whose sum is σ = 86729652277632. Its totient is φ = 31267485258240.

The previous prime is 55353220631831. The next prime is 55353220631881. The reversal of 55353220631841 is 14813602235355.

55353220631841 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 55353220631841 - 29 = 55353220631329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (55353220631801) 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 47 ways as a sum of consecutive naturals, for example, 42907566 + ... + 44178791.

It is an arithmetic number, because the mean of its divisors is an integer number (1806867755784).

Almost surely, 255353220631841 is an apocalyptic number.

55353220631841 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

55353220631841 is a deficient number, since it is larger than the sum of its proper divisors (31376431645791).

55353220631841 is a wasteful number, since it uses less digits than its factorization.

55353220631841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87086502 (or 87086491 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 48.

The spelling of 55353220631841 in words is "fifty-five trillion, three hundred fifty-three billion, two hundred twenty million, six hundred thirty-one thousand, eight hundred forty-one".

Divisors: 1 3 11 17 33 51 103 121 187 309 363 561 1133 1751 2057 3399 5253 6171 12463 19261 37389 57783 211871 635613 87086357 261259071 957949927 1480468069 2873849781 4441404207 8969894771 10537449197 16285148759 26909684313 31612347591 48855446277 98668842481 152488211107 179136636349 296006527443 457464633321 537409909047 1085357267291 1677370322177 3256071801873 5032110966531 18451073543947 55353220631841