Search a number
-
+
11169690216 = 2335317949057
BaseRepresentation
bin10100110011100001…
…11111001001101000
31001211102202001110020
422121300333021220
5140333420041331
65044205120440
7543536541336
oct123160771150
931742661406
1011169690216
114811aa9643
1221b8859120
13109012b969
1477d642b56
1545590cc96
hex299c3f268

11169690216 has 64 divisors (see below), whose sum is σ = 28610625600. Its totient is φ = 3632498688.

The previous prime is 11169690187. The next prime is 11169690221. The reversal of 11169690216 is 61209696111.

11169690216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×111696902162 (a number of 21 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 203160 + ... + 252216.

It is an arithmetic number, because the mean of its divisors is an integer number (447041025).

Almost surely, 211169690216 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 11169690216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14305312800).

11169690216 is an abundant number, since it is smaller than the sum of its proper divisors (17440935384).

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

11169690216 is a wasteful number, since it uses less digits than its factorization.

11169690216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49298 (or 49294 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 42.

The spelling of 11169690216 in words is "eleven billion, one hundred sixty-nine million, six hundred ninety thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 179 212 318 358 424 537 636 716 1074 1272 1432 2148 4296 9487 18974 28461 37948 49057 56922 75896 98114 113844 147171 196228 227688 294342 392456 588684 1177368 2600021 5200042 7800063 8781203 10400084 15600126 17562406 20800168 26343609 31200252 35124812 52687218 62400504 70249624 105374436 210748872 465403759 930807518 1396211277 1861615036 2792422554 3723230072 5584845108 11169690216