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1006416157 is a prime number
BaseRepresentation
bin111011111111001…
…011000100011101
32121010202020102111
4323333023010131
54030120304112
6243510554021
733640252615
oct7377130435
92533666374
101006416157
1147710639a
12241068911
13130675726
149793ba45
155d54c5a7
hex3bfcb11d

1006416157 has 2 divisors, whose sum is σ = 1006416158. Its totient is φ = 1006416156.

The previous prime is 1006416137. The next prime is 1006416227. The reversal of 1006416157 is 7516146001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 985080996 + 21335161 = 31386^2 + 4619^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1006416157 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1006416107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503208078 + 503208079.

It is an arithmetic number, because the mean of its divisors is an integer number (503208079).

Almost surely, 21006416157 is an apocalyptic number.

It is an amenable number.

1006416157 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006416157 is an equidigital number, since it uses as much as digits as its factorization.

1006416157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 1006416157 is about 31724.0627442325. The cubic root of 1006416157 is about 1002.1341611162.

The spelling of 1006416157 in words is "one billion, six million, four hundred sixteen thousand, one hundred fifty-seven".