Search a number
-
+
5507444447055 = 3351721493111653
BaseRepresentation
bin101000000100100110101…
…0001010001011101001111
3201111111200021100221012000
41100021031101101131033
51210213221234301210
615414030212043343
71105620415252005
oct120111521213517
921444607327160
105507444447055
11183376a8a2241
1274b468003553
1330c47161c2a5
141507c157aa75
15983dbbb1ac0
hex5024d45174f

5507444447055 has 64 divisors (see below), whose sum is σ = 10367529448320. Its totient is φ = 2764367751168.

The previous prime is 5507444447053. The next prime is 5507444447081.

5507444447055 is a `hidden beast` number, since 5 + 50 + 74 + 4 + 4 + 4 + 470 + 55 = 666.

5507444447055 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5507444447055 - 21 = 5507444447053 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5507444446992 and 5507444447010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5507444447053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49270609 + ... + 49382261.

It is an arithmetic number, because the mean of its divisors is an integer number (161992647630).

Almost surely, 25507444447055 is an apocalyptic number.

5507444447055 is a deficient number, since it is larger than the sum of its proper divisors (4860085001265).

5507444447055 is a wasteful number, since it uses less digits than its factorization.

5507444447055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133177 (or 133171 counting only the distinct ones).

The product of its (nonzero) digits is 31360000, while the sum is 54.

The spelling of 5507444447055 in words is "five trillion, five hundred seven billion, four hundred forty-four million, four hundred forty-seven thousand, fifty-five".

Divisors: 1 3 5 9 15 17 27 45 51 85 135 153 255 459 765 2295 21493 64479 107465 111653 193437 322395 334959 365381 558265 580311 967185 1004877 1096143 1674795 1826905 1898101 2901555 3014631 3288429 5024385 5480715 5694303 9490505 9865287 15073155 16442145 17082909 28471515 49326435 51248727 85414545 256243635 2399757929 7199273787 11998789645 21597821361 35996368935 40795884793 64793464083 107989106805 122387654379 203979423965 323967320415 367162963137 611938271895 1101488889411 1835814815685 5507444447055