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11328601081260 = 22351491814969821
BaseRepresentation
bin1010010011011010010100…
…1111100100010110101100
31111010000002200120011200110
42210312211033210112230
52441101433334100020
640032142033100020
72246315203244361
oct244664517442654
944100080504613
1011328601081260
113678483a79951
12132b6856b7610
13642389857488
142b2443012468
15149a39c628e0
hexa4da53e45ac

11328601081260 has 96 divisors (see below), whose sum is σ = 31935186360000. Its totient is φ = 3000477076480.

The previous prime is 11328601081243. The next prime is 11328601081261. The reversal of 11328601081260 is 6218010682311.

11328601081260 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-2 number, since 2×113286010812602 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11328601081261) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162217150 + ... + 162286970.

It is an arithmetic number, because the mean of its divisors is an integer number (332658191250).

Almost surely, 211328601081260 is an apocalyptic number.

11328601081260 is a gapful number since it is divisible by the number (10) 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 11328601081260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15967593180000).

11328601081260 is an abundant number, since it is smaller than the sum of its proper divisors (20606585278740).

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

11328601081260 is a wasteful number, since it uses less digits than its factorization.

11328601081260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88131 (or 88129 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The spelling of 11328601081260 in words is "eleven trillion, three hundred twenty-eight billion, six hundred one million, eighty-one thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 149 298 447 596 745 894 1490 1788 2235 2980 4470 8940 18149 36298 54447 69821 72596 90745 108894 139642 181490 209463 217788 272235 279284 349105 362980 418926 544470 698210 837852 1047315 1088940 1396420 2094630 2704201 4189260 5408402 8112603 10403329 10816804 13521005 16225206 20806658 27042010 31209987 32450412 40563015 41613316 52016645 54084020 62419974 81126030 104033290 124839948 156049935 162252060 208066580 312099870 624199740 1267181329 2534362658 3801543987 5068725316 6335906645 7603087974 12671813290 15206175948 19007719935 25343626580 38015439870 76030879740 188810018021 377620036042 566430054063 755240072084 944050090105 1132860108126 1888100180210 2265720216252 2832150270315 3776200360420 5664300540630 11328601081260