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5785768541 = 72118076909
BaseRepresentation
bin1010110001101101…
…11101001001011101
3112221012221111100202
411120312331021131
543322124043131
62354041033245
7263243135600
oct53066751135
915835844322
105785768541
1124a9a085a3
121155785825
1371289aba7
143cc5a4337
1523ce1bbcb
hex158dbd25d

5785768541 has 6 divisors (see below), whose sum is σ = 6730383870. Its totient is φ = 4959230136.

The previous prime is 5785768531. The next prime is 5785768543. The reversal of 5785768541 is 1458675875.

It can be written as a sum of positive squares in only one way, i.e., 4015883641 + 1769884900 = 63371^2 + 42070^2 .

It is not a de Polignac number, because 5785768541 - 210 = 5785767517 is a prime.

It is a super-2 number, since 2×57857685412 = 66950235220050537362, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5785768543) 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 5 ways as a sum of consecutive naturals, for example, 59038406 + ... + 59038503.

It is an arithmetic number, because the mean of its divisors is an integer number (1121730645).

Almost surely, 25785768541 is an apocalyptic number.

It is an amenable number.

5785768541 is a deficient number, since it is larger than the sum of its proper divisors (944615329).

5785768541 is a wasteful number, since it uses less digits than its factorization.

5785768541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118076923 (or 118076916 counting only the distinct ones).

The product of its digits is 9408000, while the sum is 56.

The square root of 5785768541 is about 76064.2395676181. The cubic root of 5785768541 is about 1795.2310532979.

The spelling of 5785768541 in words is "five billion, seven hundred eighty-five million, seven hundred sixty-eight thousand, five hundred forty-one".

Divisors: 1 7 49 118076909 826538363 5785768541