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30006285050801 = 137769284816617
BaseRepresentation
bin1101101001010011000011…
…11101100010001110110001
310221020120110121010102100102
412310221201331202032301
512413110332433111201
6143452410321402145
76214611500422403
oct664514175421661
9127216417112312
1030006285050801
119619659715814
123447504199355
1313987715a0617
1475a451d9ab73
153707eb96b26b
hex1b4a61f623b1

30006285050801 has 8 divisors (see below), whose sum is σ = 30264613828680. Its totient is φ = 29748525907968.

The previous prime is 30006285050747. The next prime is 30006285050803. The reversal of 30006285050801 is 10805058260003.

It can be written as a sum of positive squares in 4 ways, for example, as 841532857201 + 29164752193600 = 917351^2 + 5400440^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-30006285050801 is a prime.

It is a super-3 number, since 3×300062850508013 (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (30006285050803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142302956 + ... + 142513661.

It is an arithmetic number, because the mean of its divisors is an integer number (3783076728585).

Almost surely, 230006285050801 is an apocalyptic number.

It is an amenable number.

30006285050801 is a deficient number, since it is larger than the sum of its proper divisors (258328777879).

30006285050801 is a wasteful number, since it uses less digits than its factorization.

30006285050801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284817523.

The product of its (nonzero) digits is 57600, while the sum is 38.

The spelling of 30006285050801 in words is "thirty trillion, six billion, two hundred eighty-five million, fifty thousand, eight hundred one".

Divisors: 1 137 769 105353 284816617 39019876529 219023978473 30006285050801