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11129970078 = 235472931663
BaseRepresentation
bin10100101110110010…
…11101110110011110
31001201200000001200000
422113121131312132
5140243233020303
65040225515130
7542545120233
oct122731356636
931650001600
1011129970078
1147a163a287
1221a74a2aa6
131084b32616
1477826378a
154521b3da3
hex29765dd9e

11129970078 has 96 divisors (see below), whose sum is σ = 25642745856. Its totient is φ = 3616485408.

The previous prime is 11129970067. The next prime is 11129970079. The reversal of 11129970078 is 87007992111.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11129970079) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6691875 + ... + 6693537.

It is an arithmetic number, because the mean of its divisors is an integer number (267111936).

Almost surely, 211129970078 is an apocalyptic number.

11129970078 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11129970078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12821372928).

11129970078 is an abundant number, since it is smaller than the sum of its proper divisors (14512775778).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11129970078 is a wasteful number, since it uses less digits than its factorization.

11129970078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2020 (or 2008 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 45.

The spelling of 11129970078 in words is "eleven billion, one hundred twenty-nine million, nine hundred seventy thousand, seventy-eight".

Divisors: 1 2 3 6 9 18 27 47 54 81 94 141 162 243 282 293 423 486 586 846 879 1269 1663 1758 2538 2637 3326 3807 4989 5274 7614 7911 9978 11421 13771 14967 15822 22842 23733 27542 29934 41313 44901 47466 71199 78161 82626 89802 123939 134703 142398 156322 234483 247878 269406 371817 404109 468966 487259 703449 743634 808218 974518 1115451 1406898 1461777 2110347 2230902 2923554 3346353 4220694 4385331 6331041 6692706 8770662 12662082 13155993 18993123 22901173 26311986 37986246 39467979 45802346 68703519 78935958 118403937 137407038 206110557 236807874 412221114 618331671 1236663342 1854995013 3709990026 5564985039 11129970078