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5481746563969 = 13219294792
BaseRepresentation
bin100111111000101000110…
…0011101000001110000001
3201102001100100021012202101
41033301101203220032001
51204303104110021334
615354140221150401
71104020534664034
oct117612143501601
921361310235671
105481746563969
111823883032335
127464959bb401
13309c07638100
1414d46464b01b
15978d5ad9214
hex4fc518e8381

5481746563969 has 27 divisors (see below), whose sum is σ = 6265372994883. Its totient is φ = 4793248356624.

The previous prime is 5481746563957. The next prime is 5481746563991. The reversal of 5481746563969 is 9693656471845.

The square root of 5481746563969 is 2341313.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 810909255025 + 4670837308944 = 900505^2 + 2161212^2 .

It is not a de Polignac number, because 5481746563969 - 215 = 5481746531201 is a prime.

It is a super-2 number, since 2×54817465639692 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5481746564969) 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 26 ways as a sum of consecutive naturals, for example, 578299572 + ... + 578309050.

Almost surely, 25481746563969 is an apocalyptic number.

5481746563969 is the 2341313-rd square number.

5481746563969 is the 1170657-th centered octagonal number.

It is an amenable number.

5481746563969 is a deficient number, since it is larger than the sum of its proper divisors (783626430914).

5481746563969 is an frugal number, since it uses more digits than its factorization.

5481746563969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19022 (or 9511 counting only the distinct ones).

The product of its digits is 1175731200, while the sum is 73.

The spelling of 5481746563969 in words is "five trillion, four hundred eighty-one billion, seven hundred forty-six million, five hundred sixty-three thousand, nine hundred sixty-nine".

Divisors: 1 13 19 169 247 361 3211 4693 9479 61009 123227 180101 1601951 2341313 3421919 30437069 44484947 89851441 578304311 1168068733 1707177379 15184893529 22193305927 32436370201 288512977051 421672812613 5481746563969