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542781407169 = 32241210192
BaseRepresentation
bin1111110011000000100…
…10101111111111000001
31220220000100222101002100
413321200102233333001
532343104020012134
61053203401141013
754133425560061
oct7714022577701
91826010871070
10542781407169
1119a212a54951
128924048a769
133c25151a7a1
141c3b0d753a1
15e1bb8d0999
hex7e604affc1

542781407169 has 27 divisors (see below), whose sum is σ = 788057634819. Its totient is φ = 359999167680.

The previous prime is 542781407159. The next prime is 542781407197. The reversal of 542781407169 is 961704187245.

The square root of 542781407169 is 736737.

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

542781407169 is a `hidden beast` number, since 5 + 4 + 2 + 78 + 1 + 407 + 169 = 666.

It can be written as a sum of positive squares in only one way, i.e., 408209821569 + 134571585600 = 638913^2 + 366840^2 .

It is not a de Polignac number, because 542781407169 - 223 = 542773018561 is a prime.

It is a super-2 number, since 2×5427814071692 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (542781407149) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 532660342 + ... + 532661360.

Almost surely, 2542781407169 is an apocalyptic number.

542781407169 is the 736737-th square number.

542781407169 is the 368369-th centered octagonal number.

It is an amenable number.

542781407169 is a deficient number, since it is larger than the sum of its proper divisors (245276227650).

542781407169 is an frugal number, since it uses more digits than its factorization.

542781407169 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2526 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 542781407169 in words is "five hundred forty-two billion, seven hundred eighty-one million, four hundred seven thousand, one hundred sixty-nine".

Divisors: 1 3 9 241 723 1019 2169 3057 9171 58081 174243 245579 522729 736737 1038361 2210211 3115083 9345249 59184539 177553617 250245001 532660851 750735003 2252205009 60309045241 180927135723 542781407169