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3960683613 = 321729230781
BaseRepresentation
bin1110110000010011…
…0011110001011101
3101020000201120111200
43230010303301131
531102413333423
61453003110113
7200102153355
oct35404636135
911200646450
103960683613
111752780247
12926512339
134b1737093
1429803bb65
15182aaad43
hexec133c5d

3960683613 has 36 divisors (see below), whose sum is σ = 6273802548. Its totient is φ = 2399362560.

The previous prime is 3960683591. The next prime is 3960683633. The reversal of 3960683613 is 3163860693.

3960683613 is a `hidden beast` number, since 3 + 9 + 606 + 8 + 36 + 1 + 3 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1505529 + 3959178084 = 1227^2 + 62922^2 .

It is not a de Polignac number, because 3960683613 - 26 = 3960683549 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3960683633) 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 35 ways as a sum of consecutive naturals, for example, 113283 + ... + 144063.

It is an arithmetic number, because the mean of its divisors is an integer number (174272293).

Almost surely, 23960683613 is an apocalyptic number.

It is an amenable number.

3960683613 is a deficient number, since it is larger than the sum of its proper divisors (2313118935).

3960683613 is a wasteful number, since it uses less digits than its factorization.

3960683613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30862 (or 30830 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 3960683613 is about 62933.9623176548. The cubic root of 3960683613 is about 1582.1830120613.

The spelling of 3960683613 in words is "three billion, nine hundred sixty million, six hundred eighty-three thousand, six hundred thirteen".

Divisors: 1 3 9 17 29 51 87 153 261 493 841 1479 2523 4437 7569 14297 30781 42891 92343 128673 277029 523277 892649 1569831 2677947 4709493 8033841 15175033 25886821 45525099 77660463 136575297 232981389 440075957 1320227871 3960683613