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11227089162528 = 25321974412
BaseRepresentation
bin1010001101100000001010…
…1010010101000100100000
31110202022002010222101211200
42203120002222111010200
52432421034311200103
635513353100241200
72236062510210501
oct243300252250440
943668063871750
1011227089162528
113639422162938
121313a75540200
1363592ca41785
142ab573268ba8
15147097e270a3
hexa3602a95120

11227089162528 has 54 divisors (see below), whose sum is σ = 31927196510937. Its totient is φ = 3742344099840.

The previous prime is 11227089162493. The next prime is 11227089162559. The reversal of 11227089162528 is 82526198072211.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

11227089162528 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 7 + 0 + 8 + 9 + 1 + 625 + 2 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11166638089104 + 60451073424 = 3341652^2 + 245868^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=2369292.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 56764288 + ... + 56961728.

Almost surely, 211227089162528 is an apocalyptic number.

11227089162528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11227089162528 is an abundant number, since it is smaller than the sum of its proper divisors (20700107348409).

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

11227089162528 is an frugal number, since it uses more digits than its factorization.

11227089162528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394898 (or 197446 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 11227089162528 in words is "eleven trillion, two hundred twenty-seven billion, eighty-nine million, one hundred sixty-two thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 197441 394882 592323 789764 1184646 1579528 1776969 2369292 3159056 3553938 4738584 6318112 7107876 9477168 14215752 18954336 28431504 56863008 38982948481 77965896962 116948845443 155931793924 233897690886 311863587848 350846536329 467795381772 623727175696 701693072658 935590763544 1247454351392 1403386145316 1871181527088 2806772290632 3742363054176 5613544581264 11227089162528