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1108733230728 = 233231240032
BaseRepresentation
bin10000001000100101101…
…001100111111010001000
310220222211112011212002200
4100020211221213322020
5121131141201340403
62205202305000200
7143050304651424
oct20104551477210
93828745155080
101108733230728
11398236005552
1215aa68623060
13807261c4116
143b93d2b9b84
151dc92534ca3
hex10225a67e88

1108733230728 has 108 divisors (see below), whose sum is σ = 3103584297255. Its totient is φ = 357566533920.

The previous prime is 1108733230699. The next prime is 1108733230751. The reversal of 1108733230728 is 8270323378011.

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.

1108733230728 is a `hidden beast` number, since 1 + 1 + 0 + 8 + 7 + 332 + 307 + 2 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 554366615364 + 554366615364 = 744558^2 + 744558^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=744558.

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 26 ways as a sum of consecutive naturals, for example, 276973575 + ... + 276977577.

Almost surely, 21108733230728 is an apocalyptic number.

1108733230728 is a gapful number since it is divisible by the number (18) 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 1108733230728

1108733230728 is an abundant number, since it is smaller than the sum of its proper divisors (1994851066527).

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

1108733230728 is an frugal number, since it uses more digits than its factorization.

1108733230728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8080 (or 4039 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 1108733230728 in words is "one trillion, one hundred eight billion, seven hundred thirty-three million, two hundred thirty thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 961 1116 1922 2232 2883 3844 4003 5766 7688 8006 8649 11532 12009 16012 17298 23064 24018 32024 34596 36027 48036 69192 72054 96072 124093 144108 248186 288216 372279 496372 744558 992744 1116837 1489116 2233674 2978232 3846883 4467348 7693766 8934696 11540649 15387532 16024009 23081298 30775064 32048018 34621947 46162596 48072027 64096036 69243894 92325192 96144054 128192072 138487788 144216081 192288108 276975576 288432162 384576216 496744279 576864324 993488558 1153728648 1490232837 1986977116 2980465674 3973954232 4470698511 5960931348 8941397022 11921862696 15399072649 17882794044 30798145298 35765588088 46197217947 61596290596 92394435894 123192581192 138591653841 184788871788 277183307682 369577743576 554366615364 1108733230728