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1275642328068 = 22321723379487491
BaseRepresentation
bin10010100100000010001…
…101010011010000000100
311111221122201002111212200
4102210002031103100010
5131400003413444233
62414004430114500
7161106414611523
oct22440215232004
94457581074780
101275642328068
11451aa6924809
1218728a04ba30
13933a5989c04
1445a546464ba
15232b0832313
hex12902353404

1275642328068 has 288 divisors, whose sum is σ = 3586688501760. Its totient is φ = 380231470080.

The previous prime is 1275642328067. The next prime is 1275642328069. The reversal of 1275642328068 is 8608232465721.

1275642328068 is a `hidden beast` number, since 1 + 275 + 6 + 4 + 232 + 80 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (1275642328067) and next prime (1275642328069).

It is a super-2 number, since 2×12756423280682 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1275642328067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2598049303 + ... + 2598049793.

It is an arithmetic number, because the mean of its divisors is an integer number (12453779520).

Almost surely, 21275642328068 is an apocalyptic number.

1275642328068 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 1275642328068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793344250880).

1275642328068 is an abundant number, since it is smaller than the sum of its proper divisors (2311046173692).

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

1275642328068 is a wasteful number, since it uses less digits than its factorization.

1275642328068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 1275642328068 in words is "one trillion, two hundred seventy-five billion, six hundred forty-two million, three hundred twenty-eight thousand, sixty-eight".