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11122852608 = 2835724189
BaseRepresentation
bin10100101101111100…
…10100001100000000
31001201011121110100000
422112332110030000
5140234422240413
65035413200000
7542430454500
oct122676241400
931634543300
1011122852608
11479861887a
1221a5030000
13108350caba
1477732da00
1545175a073
hex296f94300

11122852608 has 648 divisors, whose sum is σ = 40076421840. Its totient is φ = 3065610240.

The previous prime is 11122852597. The next prime is 11122852619. The reversal of 11122852608 is 80625822111.

11122852608 is a `hidden beast` number, since 1 + 1 + 122 + 8 + 526 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (11122852597) and next prime (11122852619).

It is a tau number, because it is divible by the number of its divisors (648).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 124975828 + ... + 124975916.

It is an arithmetic number, because the mean of its divisors is an integer number (61846330).

Almost surely, 211122852608 is an apocalyptic number.

11122852608 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 11122852608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20038210920).

11122852608 is an abundant number, since it is smaller than the sum of its proper divisors (28953569232).

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

11122852608 is an frugal number, since it uses more digits than its factorization.

11122852608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 11122852608 in words is "eleven billion, one hundred twenty-two million, eight hundred fifty-two thousand, six hundred eight".