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55735306451433 = 32710313016601997
BaseRepresentation
bin11001010110000111000110…
…01001000111100111101001
321022100020120100002100120100
430223003203021013213221
524301131401422421213
6314312240223020013
714511512565042450
oct1453034311074751
9238306510070510
1055735306451433
1116839235525824
126301a6143a609
132513a807c424b
14da9863373b97
15669c0ad4e773
hex32b0e32479e9

55735306451433 has 48 divisors (see below), whose sum is σ = 92972187899136. Its totient is φ = 31515288105600.

The previous prime is 55735306451401. The next prime is 55735306451453. The reversal of 55735306451433 is 33415460353755.

55735306451433 is a `hidden beast` number, since 5 + 5 + 7 + 3 + 5 + 30 + 64 + 514 + 33 = 666.

55735306451433 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 55735306451433 - 25 = 55735306451401 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 55735306451433.

It is not an unprimeable number, because it can be changed into a prime (55735306451453) 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, 5141191 + ... + 11743187.

It is an arithmetic number, because the mean of its divisors is an integer number (1936920581232).

Almost surely, 255735306451433 is an apocalyptic number.

It is an amenable number.

55735306451433 is a deficient number, since it is larger than the sum of its proper divisors (37236881447703).

55735306451433 is a wasteful number, since it uses less digits than its factorization.

55735306451433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6603414 (or 6603411 counting only the distinct ones).

The product of its (nonzero) digits is 34020000, while the sum is 54.

The spelling of 55735306451433 in words is "fifty-five trillion, seven hundred thirty-five billion, three hundred six million, four hundred fifty-one thousand, four hundred thirty-three".

Divisors: 1 3 7 9 21 63 103 309 721 927 1301 2163 3903 6489 9107 11709 27321 81963 134003 402009 938021 1206027 2814063 6601997 8442189 19805991 46213979 59417973 138641937 415925811 680005691 2040017073 4760039837 6120051219 8589198097 14280119511 25767594291 42840358533 60124386679 77302782873 180373160037 541119480111 884687403991 2654062211973 6192811827937 7962186635919 18578435483811 55735306451433