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54075607715441 = 1353472916596361
BaseRepresentation
bin11000100101110011101010…
…11000111000111001110001
321002110120121002002212101002
430102321311120320321301
524041433321033343231
6311001554035051345
714250555653413424
oct1422716530707161
9232416532085332
1054075607715441
11162593778973a4
12609426b740b55
132423400692270
14d4d3b82159bb
1563b96d6c60cb
hex312e75638e71

54075607715441 has 16 divisors (see below), whose sum is σ = 59346598948560. Its totient is φ = 48963776209920.

The previous prime is 54075607715429. The next prime is 54075607715477. The reversal of 54075607715441 is 14451770657045.

It can be written as a sum of positive squares in 8 ways, for example, as 8230128192400 + 45845479523041 = 2868820^2 + 6770929^2 .

It is not a de Polignac number, because 54075607715441 - 26 = 54075607715377 is a prime.

It is a super-3 number, since 3×540756077154413 (a number of 42 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (54075607714441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5039900 + ... + 11556461.

It is an arithmetic number, because the mean of its divisors is an integer number (3709162434285).

Almost surely, 254075607715441 is an apocalyptic number.

It is an amenable number.

54075607715441 is a deficient number, since it is larger than the sum of its proper divisors (5270991233119).

54075607715441 is a wasteful number, since it uses less digits than its factorization.

54075607715441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16601156.

The product of its (nonzero) digits is 16464000, while the sum is 56.

The spelling of 54075607715441 in words is "fifty-four trillion, seventy-five billion, six hundred seven million, seven hundred fifteen thousand, four hundred forty-one".

Divisors: 1 13 53 689 4729 61477 250637 3258281 16596361 215752693 879607133 11434892729 78484191169 1020294485197 4159662131957 54075607715441