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9116119116 = 22321321192317
BaseRepresentation
bin10000111110101110…
…01111000001001100
3212112022120211111100
420133113033001030
5122132211302431
64104330023100
7441622506516
oct103727170114
925468524440
109116119116
1139588a2245
121924b77a90
13b23848930
14626a00bb6
153854b74e6
hex21f5cf04c

9116119116 has 72 divisors (see below), whose sum is σ = 24933983984. Its totient is φ = 2791635840.

The previous prime is 9116119109. The next prime is 9116119183. The reversal of 9116119116 is 6119116119.

9116119116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

9116119116 is a strobogrammatic number because it is the same when read upside-down.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 52590 + ... + 144906.

Almost surely, 29116119116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9116119116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12466991992).

9116119116 is an abundant number, since it is smaller than the sum of its proper divisors (15817864868).

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

9116119116 is a wasteful number, since it uses less digits than its factorization.

9116119116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92551 (or 92546 counting only the distinct ones).

The product of its digits is 2916, while the sum is 36.

The square root of 9116119116 is about 95478.3698855400. The cubic root of 9116119116 is about 2088.9914561960.

The spelling of 9116119116 in words is "nine billion, one hundred sixteen million, one hundred nineteen thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 211 234 422 468 633 844 1266 1899 2532 2743 3798 5486 7596 8229 10972 16458 24687 32916 49374 92317 98748 184634 276951 369268 553902 830853 1107804 1200121 1661706 2400242 3323412 3600363 4800484 7200726 10801089 14401452 19478887 21602178 38957774 43204356 58436661 77915548 116873322 175309983 233746644 253225531 350619966 506451062 701239932 759676593 1012902124 1519353186 2279029779 3038706372 4558059558 9116119116