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11168407008 = 2534111033803
BaseRepresentation
bin10100110011011000…
…00101110111100000
31001211100022212020000
422121230011313200
5140333103011013
65044121420000
7543522615243
oct123154056740
931740285200
1011168407008
114811302540
1221b833a600
13108ca9c875
1477d3cb25a
15455757973
hex299b05de0

11168407008 has 240 divisors, whose sum is σ = 36189369216. Its totient is φ = 3350626560.

The previous prime is 11168407001. The next prime is 11168407013. The reversal of 11168407008 is 80070486111.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11168407001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2934835 + ... + 2938637.

Almost surely, 211168407008 is an apocalyptic number.

11168407008 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 11168407008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18094684608).

11168407008 is an abundant number, since it is smaller than the sum of its proper divisors (25020962208).

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

11168407008 is a wasteful number, since it uses less digits than its factorization.

11168407008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3939 (or 3922 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 11168407008 in words is "eleven billion, one hundred sixty-eight million, four hundred seven thousand, eight".