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8006104119 = 3131913218179
BaseRepresentation
bin1110111010011001…
…10111010000110111
3202122221220020011210
413131030313100313
5112344030312434
63402234332503
7402253522266
oct73514672067
922587806153
108006104119
113439267582
12167528a133
139a789c620
1455d4165dd
1531cd03ee9
hex1dd337437

8006104119 has 32 divisors (see below), whose sum is σ = 12111635200. Its totient is φ = 4663422720.

The previous prime is 8006104111. The next prime is 8006104123. The reversal of 8006104119 is 9114016008.

It is not a de Polignac number, because 8006104119 - 23 = 8006104111 is a prime.

It is a super-2 number, since 2×80061041192 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8006104111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 974772 + ... + 982950.

It is an arithmetic number, because the mean of its divisors is an integer number (378488600).

Almost surely, 28006104119 is an apocalyptic number.

8006104119 is a deficient number, since it is larger than the sum of its proper divisors (4105531081).

8006104119 is a wasteful number, since it uses less digits than its factorization.

8006104119 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9535.

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 8006104119 is about 89476.8356559395. The cubic root of 8006104119 is about 2000.5085472622.

The spelling of 8006104119 in words is "eight billion, six million, one hundred four thousand, one hundred nineteen".

Divisors: 1 3 13 19 39 57 247 741 1321 3963 8179 17173 24537 25099 51519 75297 106327 155401 318981 326287 466203 978861 2020213 6060639 10804459 32413377 140457967 205284721 421373901 615854163 2668701373 8006104119