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8100146049 = 323295968611
BaseRepresentation
bin1111000101100111…
…00110101110000001
3202220111212001110020
413202303212232001
5113042114133144
63415434124053
7404505051102
oct74263465601
922814761406
108100146049
113487359686
1216a0880629
139c1208238
1456bad63a9
153261cd419
hex1e2ce6b81

8100146049 has 32 divisors (see below), whose sum is σ = 11856153600. Its totient is φ = 4902596160.

The previous prime is 8100146011. The next prime is 8100146069. The reversal of 8100146049 is 9406410018.

8100146049 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 8100146049 - 211 = 8100144001 is a prime.

It is a super-2 number, since 2×81001460492 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8100146069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83754 + ... + 152364.

It is an arithmetic number, because the mean of its divisors is an integer number (370504800).

Almost surely, 28100146049 is an apocalyptic number.

It is an amenable number.

8100146049 is a deficient number, since it is larger than the sum of its proper divisors (3756007551).

8100146049 is a wasteful number, since it uses less digits than its factorization.

8100146049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68725.

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 8100146049 is about 90000.8113796759. The cubic root of 8100146049 is about 2008.3109205459.

The spelling of 8100146049 in words is "eight billion, one hundred million, one hundred forty-six thousand, forty-nine".

Divisors: 1 3 23 29 59 69 87 177 667 1357 1711 2001 4071 5133 39353 68611 118059 205833 1578053 1989719 4048049 4734159 5969157 12144147 45763537 93105127 117393421 137290611 279315381 352180263 2700048683 8100146049