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5442456542445 = 335133101114839
BaseRepresentation
bin100111100110010101110…
…1100000101110011101101
3201021021221011011022122000
41033030223230011303231
51203132122333324240
615324121403442513
71101130101214236
oct117145354056355
921237834138560
105442456542445
11180915091966a
1273a94b826439
133062b56a9a70
1414b5b849408d
15968865e6430
hex4f32bb05ced

5442456542445 has 32 divisors (see below), whose sum is σ = 10419745862400. Its totient is φ = 2679363220032.

The previous prime is 5442456542353. The next prime is 5442456542461.

5442456542445 is a `hidden beast` number, since 5 + 4 + 4 + 2 + 4 + 56 + 542 + 4 + 45 = 666.

5442456542445 is nontrivially palindromic in base 10.

5442456542445 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 5442456542445 - 29 = 5442456541933 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5442456542391 and 5442456542400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1550555665 + ... + 1550559174.

It is an arithmetic number, because the mean of its divisors is an integer number (325617058200).

Almost surely, 25442456542445 is an apocalyptic number.

It is an amenable number.

5442456542445 is a deficient number, since it is larger than the sum of its proper divisors (4977289319955).

5442456542445 is a wasteful number, since it uses less digits than its factorization.

5442456542445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3101114866 (or 3101114860 counting only the distinct ones).

The product of its digits is 61440000, while the sum is 54.

The spelling of 5442456542445 in words is "five trillion, four hundred forty-two billion, four hundred fifty-six million, five hundred forty-two thousand, four hundred forty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 117 135 195 351 585 1755 3101114839 9303344517 15505574195 27910033551 40314492907 46516722585 83730100653 120943478721 139550167755 201572464535 362830436163 418650503265 604717393605 1088491308489 1814152180815 5442456542445