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54444033044445 = 35111719409637449
BaseRepresentation
bin11000110000100001111010…
…01111111110111111011101
321010202210120021100202110210
430120100331033332333131
524114002334424410240
6311443124332323033
714316310615141152
oct1430207517767735
9233683507322423
1054444033044445
1116390648334080
126133750613479
13244c086630615
14d63168b90229
156463330eb780
hex31843d3fefdd

54444033044445 has 32 divisors (see below), whose sum is σ = 100619560540800. Its totient is φ = 24844335933440.

The previous prime is 54444033044257. The next prime is 54444033044483.

54444033044445 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54444033044445 - 220 = 54444031995869 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 54444033044394 and 54444033044403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9704815920 + ... + 9704821529.

It is an arithmetic number, because the mean of its divisors is an integer number (3144361266900).

Almost surely, 254444033044445 is an apocalyptic number.

54444033044445 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54444033044445 is a deficient number, since it is larger than the sum of its proper divisors (46175527496355).

54444033044445 is a wasteful number, since it uses less digits than its factorization.

54444033044445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19409637485.

The product of its (nonzero) digits is 14745600, while the sum is 48.

It can be divided in two parts, 5444403 and 3044445, that added together give a palindrome (8488848).

The spelling of 54444033044445 in words is "fifty-four trillion, four hundred forty-four billion, thirty-three million, forty-four thousand, four hundred forty-five".

Divisors: 1 3 5 11 15 17 33 51 55 85 165 187 255 561 935 2805 19409637449 58228912347 97048187245 213506011939 291144561735 329963836633 640518035817 989891509899 1067530059695 1649819183165 3202590179085 3629602202963 4949457549495 10888806608889 18148011014815 54444033044445