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11117316384 = 253238601793
BaseRepresentation
bin10100101101010010…
…01100100100100000
31001200210012012001200
422112221030210200
5140232013111014
65035054401200
7542332426056
oct122651144440
931623165050
1011117316384
114795487389
1221a3200200
131082321c25
147766cc1d6
15451014a09
hex296a4c920

11117316384 has 36 divisors (see below), whose sum is σ = 31614869286. Its totient is φ = 3705772032.

The previous prime is 11117316359. The next prime is 11117316421. The reversal of 11117316384 is 48361371111.

It is a happy number.

11117316384 is a `hidden beast` number, since 1 + 1 + 1 + 17 + 3 + 1 + 638 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8416227600 + 2701088784 = 91740^2 + 51972^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×111173163843 (a number of 31 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19300609 + ... + 19301184.

Almost surely, 211117316384 is an apocalyptic number.

It is an amenable number.

11117316384 is an abundant number, since it is smaller than the sum of its proper divisors (20497552902).

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

11117316384 is a wasteful number, since it uses less digits than its factorization.

11117316384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38601809 (or 38601798 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

Adding to 11117316384 its reverse (48361371111), we get a palindrome (59478687495).

The spelling of 11117316384 in words is "eleven billion, one hundred seventeen million, three hundred sixteen thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 38601793 77203586 115805379 154407172 231610758 308814344 347416137 463221516 617628688 694832274 926443032 1235257376 1389664548 1852886064 2779329096 3705772128 5558658192 11117316384