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380165617601 = 71121372310349
BaseRepresentation
bin1011000100000111010…
…00101111011111000001
31100100021101200100101022
411202003220233133001
522212034344230401
6450351244315225
736315600301160
oct5420350573701
91310241610338
10380165617601
11137255642330
1261818842b15
1329b073700b3
1414585cad3d7
159d5049471b
hex5883a2f7c1

380165617601 has 16 divisors (see below), whose sum is σ = 474194716800. Its totient is φ = 296094199680.

The previous prime is 380165617561. The next prime is 380165617603. The reversal of 380165617601 is 106716561083.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-380165617601 is a prime.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (380165617603) 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 15 ways as a sum of consecutive naturals, for example, 990626 + ... + 1319723.

It is an arithmetic number, because the mean of its divisors is an integer number (29637169800).

Almost surely, 2380165617601 is an apocalyptic number.

It is an amenable number.

380165617601 is a deficient number, since it is larger than the sum of its proper divisors (94029099199).

380165617601 is a wasteful number, since it uses less digits than its factorization.

380165617601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2312504.

The product of its (nonzero) digits is 181440, while the sum is 44.

The spelling of 380165617601 in words is "three hundred eighty billion, one hundred sixty-five million, six hundred seventeen thousand, six hundred one".

Divisors: 1 7 11 77 2137 14959 23507 164549 2310349 16172443 25413839 177896873 4937215813 34560510691 54309373943 380165617601