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34125452253 = 334483281933
BaseRepresentation
bin11111110010000010…
…010001001111011101
310021002021001120222000
4133302002101033131
51024342103433003
623402122512513
72315442362304
oct376202211735
9107067046860
1034125452253
1113521a23402
126744665739
1332aac9c2c9
14191a2d743b
15d4add01a3
hex7f20913dd

34125452253 has 16 divisors (see below), whose sum is σ = 50567682240. Its totient is φ = 22745146032.

The previous prime is 34125452219. The next prime is 34125452261. The reversal of 34125452253 is 35225452143.

34125452253 is a `hidden beast` number, since 3 + 4 + 125 + 4 + 522 + 5 + 3 = 666.

It is not a de Polignac number, because 34125452253 - 29 = 34125451741 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34125452293) 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 15 ways as a sum of consecutive naturals, for example, 19926 + ... + 262007.

It is an arithmetic number, because the mean of its divisors is an integer number (3160480140).

Almost surely, 234125452253 is an apocalyptic number.

It is an amenable number.

34125452253 is a deficient number, since it is larger than the sum of its proper divisors (16442229987).

34125452253 is a wasteful number, since it uses less digits than its factorization.

34125452253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286425 (or 286419 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

The spelling of 34125452253 in words is "thirty-four billion, one hundred twenty-five million, four hundred fifty-two thousand, two hundred fifty-three".

Divisors: 1 3 9 27 4483 13449 40347 121041 281933 845799 2537397 7612191 1263905639 3791716917 11375150751 34125452253