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12978098133 = 37111337116803
BaseRepresentation
bin11000001011000111…
…00000111111010101
31020111110120200202020
430011203200333111
5203034343120013
65543445403353
7636416004540
oct140543407725
936443520666
1012978098133
11555a886240
122622409559
1312ba9a3a10
148b18a7857
1550e577623
hex3058e0fd5

12978098133 has 64 divisors (see below), whose sum is σ = 23861655552. Its totient is φ = 6055015680.

The previous prime is 12978098113. The next prime is 12978098141. The reversal of 12978098133 is 33189087921.

12978098133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12978098133 - 216 = 12978032597 is a prime.

It is a super-2 number, since 2×129780981332 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12978098113) 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 63 ways as a sum of consecutive naturals, for example, 52710 + ... + 169512.

It is an arithmetic number, because the mean of its divisors is an integer number (372838368).

Almost surely, 212978098133 is an apocalyptic number.

12978098133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12978098133 is a deficient number, since it is larger than the sum of its proper divisors (10883557419).

12978098133 is a wasteful number, since it uses less digits than its factorization.

12978098133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116874.

The product of its (nonzero) digits is 653184, while the sum is 51.

The spelling of 12978098133 in words is "twelve billion, nine hundred seventy-eight million, ninety-eight thousand, one hundred thirty-three".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 143 231 259 273 407 429 481 777 1001 1221 1443 2849 3003 3367 5291 8547 10101 15873 37037 111111 116803 350409 817621 1284833 1518439 2452863 3854499 4321711 4555317 8993831 10629073 12965133 16702829 26981493 30251977 31887219 47538821 50108487 56182243 90755931 116919803 142616463 168546729 332771747 350759409 393275701 618004673 998315241 1179827103 1854014019 4326032711 12978098133