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11232434304 = 2732713109983
BaseRepresentation
bin10100111011000000…
…10101100010000000
31001222210210210011100
422131200111202000
5141001000344204
65054330014400
7545231054610
oct123540254200
931883723140
1011232434304
114844464163
122215877400
1310a0129940
14787ad6a40
1545b1a3a39
hex29d815880

11232434304 has 384 divisors, whose sum is σ = 40187347200. Its totient is φ = 2932236288.

The previous prime is 11232434281. The next prime is 11232434347. The reversal of 11232434304 is 40343423211.

11232434304 is a `hidden beast` number, since 1 + 1 + 2 + 324 + 34 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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, 11426197 + ... + 11427179.

It is an arithmetic number, because the mean of its divisors is an integer number (104654550).

Almost surely, 211232434304 is an apocalyptic number.

11232434304 is a gapful number since it is divisible by the number (14) 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 11232434304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20093673600).

11232434304 is an abundant number, since it is smaller than the sum of its proper divisors (28954912896).

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

11232434304 is a wasteful number, since it uses less digits than its factorization.

11232434304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 11232434304 its reverse (40343423211), we get a palindrome (51575857515).

The spelling of 11232434304 in words is "eleven billion, two hundred thirty-two million, four hundred thirty-four thousand, three hundred four".