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57542894161 = 97224732
BaseRepresentation
bin110101100101110100…
…101110001001010001
312111112021002220012021
4311211310232021101
51420321440103121
642233531531441
74104652346554
oct654564561121
9174467086167
1057542894161
1122449511085
12b19abb9b81
1355706989cc
142adc40a69b
15176bb9b641
hexd65d2e251

57542894161 has 9 divisors (see below), whose sum is σ = 58165755921. Its totient is φ = 56926639872.

The previous prime is 57542894147. The next prime is 57542894173. The reversal of 57542894161 is 16149824575.

The square root of 57542894161 is 239881.

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

57542894161 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2393068561 + 55149825600 = 48919^2 + 234840^2 .

It is not a de Polignac number, because 57542894161 - 215 = 57542861393 is a prime.

It is a super-5 number, since 5×575428941615 (a number of 55 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 57542894099 and 57542894108.

It is not an unprimeable number, because it can be changed into a prime (57542894111) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 23267221 + ... + 23269693.

It is an arithmetic number, because the mean of its divisors is an integer number (6462861769).

Almost surely, 257542894161 is an apocalyptic number.

57542894161 is the 239881-st square number.

57542894161 is the 119941-st centered octagonal number.

It is an amenable number.

57542894161 is a deficient number, since it is larger than the sum of its proper divisors (622861760).

57542894161 is an frugal number, since it uses more digits than its factorization.

57542894161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5140 (or 2570 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 52.

The spelling of 57542894161 in words is "fifty-seven billion, five hundred forty-two million, eight hundred ninety-four thousand, one hundred sixty-one".

Divisors: 1 97 2473 9409 239881 6115729 23268457 593225713 57542894161