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11168434368 = 2632721361499
BaseRepresentation
bin10100110011011000…
…01100100011000000
31001211100101020202100
422121230030203000
5140333104344433
65044122150400
7543523061100
oct123154144300
931740336670
1011168434368
114811321053
1221b8352400
13108caac160
1477d3d7200
15455760b13
hex299b0c8c0

11168434368 has 504 divisors, whose sum is σ = 40842438000. Its totient is φ = 2891427840.

The previous prime is 11168434367. The next prime is 11168434421. The reversal of 11168434368 is 86343486111.

11168434368 is a `hidden beast` number, since 11 + 168 + 43 + 436 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (11168434367) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 22381383 + ... + 22381881.

Almost surely, 211168434368 is an apocalyptic number.

11168434368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11168434368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20421219000).

11168434368 is an abundant number, since it is smaller than the sum of its proper divisors (29674003632).

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

11168434368 is a wasteful number, since it uses less digits than its factorization.

11168434368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 585 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

It can be divided in two parts, 1116843 and 4368, that added together give a palindrome (1121211).

The spelling of 11168434368 in words is "eleven billion, one hundred sixty-eight million, four hundred thirty-four thousand, three hundred sixty-eight".