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11830923728 = 241353220249
BaseRepresentation
bin10110000010010110…
…11001000111010000
31010112111222012022022
423001023121013100
5143212204024403
65233545431012
7566116123001
oct130113310720
933474865268
1011830923728
115021280118
12236219b468
131167116ab0
148033a91a8
154939c3d38
hex2c12d91d0

11830923728 has 60 divisors (see below), whose sum is σ = 25161475500. Its totient is φ = 5357134848.

The previous prime is 11830923721. The next prime is 11830923733. The reversal of 11830923728 is 82732903811.

It can be written as a sum of positive squares in 6 ways, for example, as 61277584 + 11769646144 = 7828^2 + 108488^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11830923721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 574148 + ... + 594396.

It is an arithmetic number, because the mean of its divisors is an integer number (419357925).

Almost surely, 211830923728 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 11830923728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12580737750).

11830923728 is an abundant number, since it is smaller than the sum of its proper divisors (13330551772).

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

11830923728 is a wasteful number, since it uses less digits than its factorization.

11830923728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20376 (or 20317 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 44.

The spelling of 11830923728 in words is "eleven billion, eight hundred thirty million, nine hundred twenty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 52 53 104 106 208 212 424 689 848 1378 2756 2809 5512 5618 11024 11236 20249 22472 36517 40498 44944 73034 80996 146068 161992 263237 292136 323984 526474 584272 1052948 1073197 2105896 2146394 4211792 4292788 8585576 13951561 17171152 27903122 55806244 56879441 111612488 113758882 223224976 227517764 455035528 739432733 910071056 1478865466 2957730932 5915461864 11830923728