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57606184241 = 1716692030317
BaseRepresentation
bin110101101001100110…
…001001110100110001
312111200200012100212022
4311221212021310301
51420434140343431
642244112241225
74106351326004
oct655146116461
9174620170768
1057606184241
1122481209931
12b1b8240215
135580828368
142b069a353b
1517724ee07b
hexd69989d31

57606184241 has 8 divisors (see below), whose sum is σ = 61031359080. Its totient is φ = 54185073408.

The previous prime is 57606184231. The next prime is 57606184243. The reversal of 57606184241 is 14248160675.

57606184241 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 6317070400 + 51289113841 = 79480^2 + 226471^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 57606184241 - 218 = 57605922097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 57606184192 and 57606184201.

It is not an unprimeable number, because it can be changed into a prime (57606184243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 986786 + ... + 1043531.

It is an arithmetic number, because the mean of its divisors is an integer number (7628919885).

Almost surely, 257606184241 is an apocalyptic number.

It is an amenable number.

57606184241 is a deficient number, since it is larger than the sum of its proper divisors (3425174839).

57606184241 is a wasteful number, since it uses less digits than its factorization.

57606184241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2032003.

The product of its (nonzero) digits is 322560, while the sum is 44.

The spelling of 57606184241 in words is "fifty-seven billion, six hundred six million, one hundred eighty-four thousand, two hundred forty-one".

Divisors: 1 17 1669 28373 2030317 34515389 3388599073 57606184241