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11241091728 = 243278063137
BaseRepresentation
bin10100111100000010…
…10111001010010000
31002000102002121220200
422132001113022100
5141010204413403
65055235335200
7545364463116
oct123601271220
932012077820
1011241091728
114849337659
122218751500
1310a1b6b389
14788d0bab6
1545bd13ca3
hex29e057290

11241091728 has 30 divisors (see below), whose sum is σ = 31459444614. Its totient is φ = 3747030528.

The previous prime is 11241091723. The next prime is 11241091759. The reversal of 11241091728 is 82719014211.

It can be written as a sum of positive squares in only one way, i.e., 11128562064 + 112529664 = 105492^2 + 10608^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 11241091692 and 11241091701.

It is not an unprimeable number, because it can be changed into a prime (11241091721) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 39031425 + ... + 39031712.

Almost surely, 211241091728 is an apocalyptic number.

11241091728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11241091728 is an abundant number, since it is smaller than the sum of its proper divisors (20218352886).

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

11241091728 is a wasteful number, since it uses less digits than its factorization.

11241091728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78063151 (or 78063142 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 11241091728 in words is "eleven billion, two hundred forty-one million, ninety-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 78063137 156126274 234189411 312252548 468378822 624505096 702568233 936757644 1249010192 1405136466 1873515288 2810272932 3747030576 5620545864 11241091728