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4105006857 = 34723314777
BaseRepresentation
bin1111010010101101…
…0110111100001001
3101121002021221210000
43310223112330021
531401340204412
61515200313213
7203503661010
oct36453267411
911532257700
104105006857
111817195456
12966912809
135055c9153
142ad289a77
151905b84dc
hexf4ad6f09

4105006857 has 40 divisors (see below), whose sum is σ = 7312922496. Its totient is φ = 2243723328.

The previous prime is 4105006819. The next prime is 4105006963. The reversal of 4105006857 is 7586005014.

4105006857 is a `hidden beast` number, since 41 + 0 + 500 + 68 + 57 = 666.

It is not a de Polignac number, because 4105006857 - 211 = 4105004809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4105006457) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 144348 + ... + 170429.

Almost surely, 24105006857 is an apocalyptic number.

It is an amenable number.

4105006857 is a deficient number, since it is larger than the sum of its proper divisors (3207915639).

4105006857 is a wasteful number, since it uses less digits than its factorization.

4105006857 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314819 (or 314810 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 4105006857 is about 64070.3274300982. The cubic root of 4105006857 is about 1601.1719092719.

The spelling of 4105006857 in words is "four billion, one hundred five million, six thousand, eight hundred fifty-seven".

Divisors: 1 3 7 9 21 23 27 63 69 81 161 189 207 483 567 621 1449 1863 4347 13041 314777 944331 2203439 2832993 6610317 7239871 8498979 19830951 21719613 25496937 50679097 59492853 65158839 152037291 178478559 195476517 456111873 586429551 1368335619 4105006857