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1248206320008 = 2334438892
BaseRepresentation
bin10010001010011110111…
…001001111000110001000
311102022211122101220020000
4102022132321033012020
5130422311304220013
62353230145203000
7156115500443034
oct22123671170610
94368748356200
101248206320008
114413a7a2188a
12181ab1930460
139092286b20b
14445b09491c4
1522706d74973
hex1229ee4f188

1248206320008 has 60 divisors (see below), whose sum is σ = 3496213102965. Its totient is φ = 416059293312.

The previous prime is 1248206320007. The next prime is 1248206320091. The reversal of 1248206320008 is 8000236028421.

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.

1248206320008 is a `hidden beast` number, since 1 + 248 + 206 + 3 + 200 + 0 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 911455908804 + 336750411204 = 954702^2 + 580302^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=790002.

It is a super-2 number, since 2×12482063200082 (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1248206320001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 28418128 + ... + 28462016.

Almost surely, 21248206320008 is an apocalyptic number.

1248206320008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1248206320008 is an abundant number, since it is smaller than the sum of its proper divisors (2248006782957).

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

1248206320008 is an frugal number, since it uses more digits than its factorization.

1248206320008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87796 (or 43894 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 1248206320008 in words is "one trillion, two hundred forty-eight billion, two hundred six million, three hundred twenty thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 43889 87778 131667 175556 263334 351112 395001 526668 790002 1053336 1185003 1580004 2370006 3160008 3555009 4740012 7110018 9480024 14220036 28440072 1926244321 3852488642 5778732963 7704977284 11557465926 15409954568 17336198889 23114931852 34672397778 46229863704 52008596667 69344795556 104017193334 138689591112 156025790001 208034386668 312051580002 416068773336 624103160004 1248206320008