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11238296082 = 2313612778527
BaseRepresentation
bin10100111011101101…
…01100101000010010
31002000012211121000020
422131312230220102
5141004000433312
65055055404310
7545331640416
oct123566545022
932005747006
1011238296082
1148477a8202
122217823696
1310a13cca50
147887c0d46
1545b96078c
hex29ddaca12

11238296082 has 64 divisors (see below), whose sum is σ = 24694086144. Its totient is φ = 3388573440.

The previous prime is 11238296059. The next prime is 11238296099. The reversal of 11238296082 is 28069283211.

11238296082 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×112382960823 (a number of 31 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 1313703 + ... + 1322229.

It is an arithmetic number, because the mean of its divisors is an integer number (385845096).

Almost surely, 211238296082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11238296082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12347043072).

11238296082 is an abundant number, since it is smaller than the sum of its proper divisors (13455790062).

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

11238296082 is a wasteful number, since it uses less digits than its factorization.

11238296082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8883.

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 11238296082 in words is "eleven billion, two hundred thirty-eight million, two hundred ninety-six thousand, eighty-two".

Divisors: 1 2 3 6 13 26 39 61 78 122 183 277 366 554 793 831 1586 1662 2379 3601 4758 7202 8527 10803 16897 17054 21606 25581 33794 50691 51162 101382 110851 219661 221702 332553 439322 520147 658983 665106 1040294 1317966 1560441 2361979 3120882 4723958 6761911 7085937 13523822 14171874 20285733 30705727 40571466 61411454 92117181 144080719 184234362 288161438 432242157 864484314 1873049347 3746098694 5619148041 11238296082