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57336781401 = 32798172
BaseRepresentation
bin110101011001100010…
…011101101001011001
312110222220021021122100
4311121202131221121
51414411204001101
642201250114013
74066600412664
oct653142355131
9173886237570
1057336781401
1122353133559
12b141b7b909
135539a812b3
142abccb66db
151758a35e86
hexd5989da59

57336781401 has 9 divisors (see below), whose sum is σ = 82820832991. Its totient is φ = 38224042032.

The previous prime is 57336781373. The next prime is 57336781421. The reversal of 57336781401 is 10418763375.

The square root of 57336781401 is 239451.

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

57336781401 is a `hidden beast` number, since 573 + 3 + 6 + 78 + 1 + 4 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2872424025 + 54464357376 = 53595^2 + 233376^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 57336781401 - 221 = 57334684249 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (57336781421) 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 8 ways as a sum of consecutive naturals, for example, 678445 + ... + 758261.

Almost surely, 257336781401 is an apocalyptic number.

57336781401 is the 239451-st square number.

57336781401 is the 119726-th centered octagonal number.

It is an amenable number.

57336781401 is a deficient number, since it is larger than the sum of its proper divisors (25484051590).

57336781401 is an frugal number, since it uses more digits than its factorization.

57336781401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159640 (or 79820 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 57336781401 in words is "fifty-seven billion, three hundred thirty-six million, seven hundred eighty-one thousand, four hundred one".

Divisors: 1 3 9 79817 239451 718353 6370753489 19112260467 57336781401