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993646076041 = 7048571409713
BaseRepresentation
bin11100111010110011110…
…10111110000010001001
310111222202220101122102001
432131121322332002021
5112234441343413131
62040250311511001
7131534322201253
oct16353172760211
93458686348361
10993646076041
1135344833a873
121406aa088461
1372914aa1818
1436142628cd3
151aca8a1c261
hexe759ebe089

993646076041 has 4 divisors (see below), whose sum is σ = 993648190612. Its totient is φ = 993643961472.

The previous prime is 993646076029. The next prime is 993646076051. The reversal of 993646076041 is 140670646399.

993646076041 is a nontrivial binomial coefficient, being equal to C(1409714, 2).

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 542056700025 + 451589376016 = 736245^2 + 672004^2 .

It is a 3-Lehmer number, since φ(993646076041) divides (993646076041-1)3.

It is a cyclic number.

It is not a de Polignac number, because 993646076041 - 29 = 993646075529 is a prime.

It is not an unprimeable number, because it can be changed into a prime (993646076051) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1 + ... + 1409713.

It is an arithmetic number, because the mean of its divisors is an integer number (248412047653).

It is a Poulet number, since it divides 2993646076040-1.

Almost surely, 2993646076041 is an apocalyptic number.

993646076041 is the 1409713-rd triangular number and also the 704857-th hexagonal number.

993646076041 is the 469905-th centered nonagonal number.

It is an amenable number.

993646076041 is a deficient number, since it is larger than the sum of its proper divisors (2114571).

993646076041 is a wasteful number, since it uses less digits than its factorization.

993646076041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2114570.

The product of its (nonzero) digits is 5878656, while the sum is 55.

The spelling of 993646076041 in words is "nine hundred ninety-three billion, six hundred forty-six million, seventy-six thousand, forty-one".

Divisors: 1 704857 1409713 993646076041