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60006600133 = 417320048981
BaseRepresentation
bin110111111000101011…
…000000110111000101
312201212222000010102121
4313320223000313011
51440343142201013
643322221405541
74223006454034
oct677053006705
9181788003377
1060006600133
11234a3185917
12b7681098b1
135873c2b3ac
142c936d071b
15186310858d
hexdf8ac0dc5

60006600133 has 8 divisors (see below), whose sum is σ = 62312236056. Its totient is φ = 57741062400.

The previous prime is 60006600127. The next prime is 60006600167. The reversal of 60006600133 is 33100660006.

It can be written as a sum of positive squares in 4 ways, for example, as 266930244 + 59739669889 = 16338^2 + 244417^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 60006600133 - 221 = 60004502981 is a prime.

It is a super-4 number, since 4×600066001334 (a number of 44 digits) contains 4444 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 60006600098 and 60006600107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60006606133) 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 7 ways as a sum of consecutive naturals, for example, 10021498 + ... + 10027483.

It is an arithmetic number, because the mean of its divisors is an integer number (7789029507).

Almost surely, 260006600133 is an apocalyptic number.

It is an amenable number.

60006600133 is a deficient number, since it is larger than the sum of its proper divisors (2305635923).

60006600133 is a wasteful number, since it uses less digits than its factorization.

60006600133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20049095.

The product of its (nonzero) digits is 1944, while the sum is 25.

The spelling of 60006600133 in words is "sixty billion, six million, six hundred thousand, one hundred thirty-three".

Divisors: 1 41 73 2993 20048981 822008221 1463575613 60006600133