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5783135697 = 34193757723
BaseRepresentation
bin1010110001011001…
…11010010111010001
3112221000222201210000
411120230322113101
543320440320242
62353504400213
7263211561633
oct53054722721
915830881700
105783135697
1124a847a499
121154916069
137121886b1
143cc0baa53
1523ca9ba4c
hex158b3a5d1

5783135697 has 20 divisors (see below), whose sum is σ = 9093692080. Its totient is φ = 3652505784.

The previous prime is 5783135689. The next prime is 5783135707. The reversal of 5783135697 is 7965313875.

5783135697 is a `hidden beast` number, since 5 + 78 + 3 + 1 + 3 + 569 + 7 = 666.

It is not a de Polignac number, because 5783135697 - 23 = 5783135689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5783135647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1877323 + ... + 1880400.

It is an arithmetic number, because the mean of its divisors is an integer number (454684604).

Almost surely, 25783135697 is an apocalyptic number.

5783135697 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

It is an amenable number.

5783135697 is a deficient number, since it is larger than the sum of its proper divisors (3310556383).

5783135697 is a wasteful number, since it uses less digits than its factorization.

5783135697 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3757754 (or 3757745 counting only the distinct ones).

The product of its digits is 4762800, while the sum is 54.

The square root of 5783135697 is about 76046.9308848161. The cubic root of 5783135697 is about 1794.9587022464.

It can be divided in two parts, 57831 and 35697, that added together give a triangular number (93528 = T432).

The spelling of 5783135697 in words is "five billion, seven hundred eighty-three million, one hundred thirty-five thousand, six hundred ninety-seven".

Divisors: 1 3 9 19 27 57 81 171 513 1539 3757723 11273169 33819507 71396737 101458521 214190211 304375563 642570633 1927711899 5783135697