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33512345041 = 725312904253
BaseRepresentation
bin11111001101011111…
…011100110111010001
310012111112101111222111
4133031133130313101
51022113130020131
623221221505321
72264316142600
oct371537346721
9105445344874
1033512345041
111323793292a
1265b3272241
133210c64786
14189cadba37
15d12173ab1
hex7cd7dcdd1

33512345041 has 12 divisors (see below), whose sum is σ = 39719293812. Its totient is φ = 28182886368.

The previous prime is 33512345003. The next prime is 33512345051. The reversal of 33512345041 is 14054321533.

It can be written as a sum of positive squares in 2 ways, for example, as 27977580225 + 5534764816 = 167265^2 + 74396^2 .

It is not a de Polignac number, because 33512345041 - 219 = 33511820753 is a prime.

It is a super-2 number, since 2×335123450412 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 33512344994 and 33512345012.

It is not an unprimeable number, because it can be changed into a prime (33512345051) 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 11 ways as a sum of consecutive naturals, for example, 6449530 + ... + 6454723.

It is an arithmetic number, because the mean of its divisors is an integer number (3309941151).

Almost surely, 233512345041 is an apocalyptic number.

It is an amenable number.

33512345041 is a deficient number, since it is larger than the sum of its proper divisors (6206948771).

33512345041 is a wasteful number, since it uses less digits than its factorization.

33512345041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12904320 (or 12904313 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

Adding to 33512345041 its reverse (14054321533), we get a palindrome (47566666574).

The spelling of 33512345041 in words is "thirty-three billion, five hundred twelve million, three hundred forty-five thousand, forty-one".

Divisors: 1 7 49 53 371 2597 12904253 90329771 632308397 683925409 4787477863 33512345041