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11427928704 = 2732831071117
BaseRepresentation
bin10101010010010100…
…00101101010000000
31002111102122221001200
422221022011222000
5141401022204304
65125552101200
7553123535253
oct125112055200
932442587050
1011427928704
114934849a85
12226b234800
1311017971ba
147a5a6509a
1546d41ce39
hex2a9285a80

11427928704 has 192 divisors, whose sum is σ = 33622374240. Its totient is φ = 3724904448.

The previous prime is 11427928679. The next prime is 11427928739. The reversal of 11427928704 is 40782972411.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 11427928704.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10230354 + ... + 10231470.

Almost surely, 211427928704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11427928704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16811187120).

11427928704 is an abundant number, since it is smaller than the sum of its proper divisors (22194445536).

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

11427928704 is a wasteful number, since it uses less digits than its factorization.

11427928704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 11427928704 in words is "eleven billion, four hundred twenty-seven million, nine hundred twenty-eight thousand, seven hundred four".