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11662409304 = 23327131993683
BaseRepresentation
bin10101101110010001…
…00011111001011000
31010002202212202222100
422313020203321120
5142341034044204
65205125523400
7562001562210
oct126710437130
933082782870
1011662409304
114a451427a7
122315873560
13113b234a10
147c8c61240
15483cd8a39
hex2b7223e58

11662409304 has 192 divisors, whose sum is σ = 40921171200. Its totient is φ = 2913884928.

The previous prime is 11662409273. The next prime is 11662409357. The reversal of 11662409304 is 40390426611.

11662409304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77647 + ... + 171329.

It is an arithmetic number, because the mean of its divisors is an integer number (213131100).

Almost surely, 211662409304 is an apocalyptic number.

11662409304 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 11662409304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20460585600).

11662409304 is an abundant number, since it is smaller than the sum of its proper divisors (29258761896).

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

11662409304 is a wasteful number, since it uses less digits than its factorization.

11662409304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93734 (or 93727 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 11662409304 in words is "eleven billion, six hundred sixty-two million, four hundred nine thousand, three hundred four".