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4134704133 = 37319792677
BaseRepresentation
bin1111011001110010…
…1001010000000101
3101200011011201210010
43312130221100011
531431441013013
61522141020433
7204314256000
oct36634512005
911604151703
104134704133
111831a2945a
12974854719
1350b7c63c1
142b31ba537
15192ed27c3
hexf6729405

4134704133 has 64 divisors (see below), whose sum is σ = 6855680000. Its totient is φ = 2209177152.

The previous prime is 4134704131. The next prime is 4134704141. The reversal of 4134704133 is 3314074314.

It is not a de Polignac number, because 4134704133 - 21 = 4134704131 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4134704133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4134704131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1543191 + ... + 1545867.

It is an arithmetic number, because the mean of its divisors is an integer number (107120000).

Almost surely, 24134704133 is an apocalyptic number.

It is an amenable number.

4134704133 is a deficient number, since it is larger than the sum of its proper divisors (2720975867).

4134704133 is a wasteful number, since it uses less digits than its factorization.

4134704133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2799 (or 2785 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 4134704133 is about 64301.6650873055. The cubic root of 4134704133 is about 1605.0238099747.

Adding to 4134704133 its reverse (3314074314), we get a palindrome (7448778447).

The spelling of 4134704133 in words is "four billion, one hundred thirty-four million, seven hundred four thousand, one hundred thirty-three".

Divisors: 1 3 7 19 21 49 57 79 133 147 237 343 399 553 931 1029 1501 1659 2677 2793 3871 4503 6517 8031 10507 11613 18739 19551 27097 31521 50863 56217 73549 81291 131173 152589 211483 220647 356041 393519 514843 634449 918211 1068123 1480381 1544529 2492287 2754633 4018177 4441143 7476861 10362667 12054531 17446009 28127239 31088001 52338027 72538669 84381717 196890673 217616007 590672019 1378234711 4134704133