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8006032002077 is a prime number
BaseRepresentation
bin111010010000000110010…
…1100011000110000011101
31001100100222010122212010122
41310200030230120300131
52022132323143031302
625005530442444325
71454262636122144
oct164401454306035
931310863585118
108006032002077
11260738039171a
12a93757b036a5
13460c724b6265
141d96cb81c75b
15dd3c67c03a2
hex7480cb18c1d

8006032002077 has 2 divisors, whose sum is σ = 8006032002078. Its totient is φ = 8006032002076.

The previous prime is 8006032001909. The next prime is 8006032002083. The reversal of 8006032002077 is 7702002306008.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7065463712836 + 940568289241 = 2658094^2 + 969829^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-8006032002077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8006032032077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4003016001038 + 4003016001039.

It is an arithmetic number, because the mean of its divisors is an integer number (4003016001039).

Almost surely, 28006032002077 is an apocalyptic number.

It is an amenable number.

8006032002077 is a deficient number, since it is larger than the sum of its proper divisors (1).

8006032002077 is an equidigital number, since it uses as much as digits as its factorization.

8006032002077 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28224, while the sum is 35.

The spelling of 8006032002077 in words is "eight trillion, six billion, thirty-two million, two thousand, seventy-seven".