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8041287811 = 3137411011693
BaseRepresentation
bin1110111110100110…
…00101000010000011
3202202102002202010111
413133103011002003
5112432032202221
63405532412151
7403161550534
oct73723050203
922672082114
108041287811
113457108607
121685017057
139b1c6ab8b
14563d7468b
15320e53be1
hex1df4c5083

8041287811 has 32 divisors (see below), whose sum is σ = 8824628736. Its totient is φ = 7309440000.

The previous prime is 8041287809. The next prime is 8041287817. The reversal of 8041287811 is 1187821408.

It is a 10-Lehmer number, since φ(8041287811) divides (8041287811-1)10.

It is a cyclic number.

It is not a de Polignac number, because 8041287811 - 21 = 8041287809 is a prime.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8041287817) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4748881 + ... + 4750573.

It is an arithmetic number, because the mean of its divisors is an integer number (275769648).

Almost surely, 28041287811 is an apocalyptic number.

8041287811 is a deficient number, since it is larger than the sum of its proper divisors (783340925).

8041287811 is a wasteful number, since it uses less digits than its factorization.

8041287811 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1903.

The product of its (nonzero) digits is 28672, while the sum is 40.

The square root of 8041287811 is about 89673.2279501524. The cubic root of 8041287811 is about 2003.4347487903.

The spelling of 8041287811 in words is "eight billion, forty-one million, two hundred eighty-seven thousand, eight hundred eleven".

Divisors: 1 31 37 41 101 1147 1271 1517 1693 3131 3737 4141 47027 52483 62641 69413 115847 128371 153217 170993 1941871 2151803 2568281 4749727 5300783 6326741 7010713 79616711 196128971 217332103 259396381 8041287811