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11234018304 = 21036101149
BaseRepresentation
bin10100111011001100…
…11000010000000000
31001222220210021000000
422131212120100000
5141001402041204
65054424000000
7545250402645
oct123546302000
931886707000
1011234018304
114845346253
122216300000
1310a0562912
14787dc9dcc
1545b3b8039
hex29d998400

11234018304 has 308 divisors, whose sum is σ = 34231776300. Its totient is φ = 3682713600.

The previous prime is 11234018293. The next prime is 11234018311. The reversal of 11234018304 is 40381043211.

11234018304 is a `hidden beast` number, since 1 + 1 + 2 + 340 + 18 + 304 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6456443904 + 4777574400 = 80352^2 + 69120^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 75396022 + ... + 75396170.

Almost surely, 211234018304 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 11234018304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17115888150).

11234018304 is an abundant number, since it is smaller than the sum of its proper divisors (22997757996).

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

11234018304 is an equidigital number, since it uses as much as digits as its factorization.

11234018304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 11234018304 in words is "eleven billion, two hundred thirty-four million, eighteen thousand, three hundred four".