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57435563349 = 3678786781
BaseRepresentation
bin110101011111011011…
…010010010101010101
312111020210010221000000
4311133123102111111
51420112001011344
642215135241513
74102210143003
oct653733222525
9174223127000
1057435563349
11223a397292a
12b16b079299
135554389558
142acc06ba73
151762549a69
hexd5f6d2555

57435563349 has 14 divisors (see below), whose sum is σ = 86113952726. Its totient is φ = 38290375080.

The previous prime is 57435563327. The next prime is 57435563389. The reversal of 57435563349 is 94336553475.

57435563349 is a `hidden beast` number, since 5 + 7 + 4 + 35 + 563 + 3 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 47723460849 + 9712102500 = 218457^2 + 98550^2 .

It is not a de Polignac number, because 57435563349 - 216 = 57435497813 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 57435563295 and 57435563304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57435563389) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 39392662 + ... + 39394119.

Almost surely, 257435563349 is an apocalyptic number.

It is an amenable number.

57435563349 is a deficient number, since it is larger than the sum of its proper divisors (28678389377).

57435563349 is an frugal number, since it uses more digits than its factorization.

57435563349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78786799 (or 78786784 counting only the distinct ones).

The product of its digits is 20412000, while the sum is 54.

The spelling of 57435563349 in words is "fifty-seven billion, four hundred thirty-five million, five hundred sixty-three thousand, three hundred forty-nine".

Divisors: 1 3 9 27 81 243 729 78786781 236360343 709081029 2127243087 6381729261 19145187783 57435563349