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11179422000 = 2432531993121
BaseRepresentation
bin10100110100101100…
…00111000100110000
31001212010001110221200
422122112013010300
5140343413001000
65045153451200
7544015343025
oct123226070460
931763043850
1011179422000
11481754623a
1221bbb70b00
131092158406
14780a5754c
154566d1500
hex29a587130

11179422000 has 240 divisors, whose sum is σ = 39254779200. Its totient is φ = 2965248000.

The previous prime is 11179421971. The next prime is 11179422013. The reversal of 11179422000 is 22497111.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3580440 + ... + 3583560.

It is an arithmetic number, because the mean of its divisors is an integer number (163561580).

Almost surely, 211179422000 is an apocalyptic number.

11179422000 is a gapful number since it is divisible by the number (10) 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 11179422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19627389600).

11179422000 is an abundant number, since it is smaller than the sum of its proper divisors (28075357200).

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

11179422000 is a wasteful number, since it uses less digits than its factorization.

11179422000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3349 (or 3330 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 11179422000 in words is "eleven billion, one hundred seventy-nine million, four hundred twenty-two thousand".