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2505117293 = 72271576537
BaseRepresentation
bin1001010101010001…
…0000111001101101
320110120211010212222
42111110100321231
520112302223133
61052325205125
7116036100650
oct22524207155
96416733788
102505117293
111076089778
1259ab607a5
1330c001733
1419a9c3897
15e9ddbe98
hex95510e6d

2505117293 has 8 divisors (see below), whose sum is σ = 2875605312. Its totient is φ = 2137782816.

The previous prime is 2505117269. The next prime is 2505117313. The reversal of 2505117293 is 3927115052.

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 2505117293 - 210 = 2505116269 is a prime.

It is a super-3 number, since 3×25051172933 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505117253) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 786680 + ... + 789857.

It is an arithmetic number, because the mean of its divisors is an integer number (359450664).

Almost surely, 22505117293 is an apocalyptic number.

It is an amenable number.

2505117293 is a deficient number, since it is larger than the sum of its proper divisors (370488019).

2505117293 is a wasteful number, since it uses less digits than its factorization.

2505117293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1576771.

The product of its (nonzero) digits is 18900, while the sum is 35.

The square root of 2505117293 is about 50051.1467700791. The cubic root of 2505117293 is about 1358.1342085297.

The spelling of 2505117293 in words is "two billion, five hundred five million, one hundred seventeen thousand, two hundred ninety-three".

Divisors: 1 7 227 1589 1576537 11035759 357873899 2505117293