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55332211223355 = 35111775612608951
BaseRepresentation
bin11001001010011000010001…
…10010110110101100111011
321020220201002221022002212120
430211030020302312230323
524223030332033121410
6313403133353212323
714440422530120043
oct1445141062665473
9236821087262776
1055332211223355
11166a32938007a0
1262579057010a3
1324b4a60b3bc01
14d9414409a723
1565e4b7851570
hex325308cb6b3b

55332211223355 has 64 divisors (see below), whose sum is σ = 102274591804416. Its totient is φ = 25246287360000.

The previous prime is 55332211223299. The next prime is 55332211223381.

55332211223355 is nontrivially palindromic in base 10.

55332211223355 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 55332211223355 - 228 = 55331942787899 is a prime.

It is a zygodrome in base 10.

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 63 ways as a sum of consecutive naturals, for example, 19904130 + ... + 22513080.

It is an arithmetic number, because the mean of its divisors is an integer number (1598040496944).

Almost surely, 255332211223355 is an apocalyptic number.

55332211223355 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

55332211223355 is a deficient number, since it is larger than the sum of its proper divisors (46942380581061).

55332211223355 is a wasteful number, since it uses less digits than its factorization.

55332211223355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2616548.

The product of its digits is 810000, while the sum is 42.

It can be divided in two parts, 5533221 and 1223355, that added together give a palindrome (6756576).

The spelling of 55332211223355 in words is "fifty-five trillion, three hundred thirty-two billion, two hundred eleven million, two hundred twenty-three thousand, three hundred fifty-five".

Divisors: 1 3 5 11 15 17 33 51 55 85 165 187 255 561 935 2805 7561 22683 37805 83171 113415 128537 249513 385611 415855 642685 1247565 1413907 1928055 2608951 4241721 7069535 7826853 13044755 21208605 28698461 39134265 44352167 86095383 133056501 143492305 221760835 430476915 487873837 665282505 1463621511 2439369185 7318107555 19726278511 59178835533 98631392555 216989063621 295894177665 335346734687 650967190863 1006040204061 1084945318105 1676733673435 3254835954315 3688814081557 5030201020305 11066442244671 18444070407785 55332211223355