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506100000047 is a prime number
BaseRepresentation
bin1110101110101011110…
…10010010010100101111
31210101022222102211012012
413113111322102110233
531242443100000142
61024255451231435
751364426010135
oct7272572222457
91711288384165
10506100000047
111856aa28a854
1282103a4857b
1338956b5a365
141a6d1423755
15d271420882
hex75d5e9252f

506100000047 has 2 divisors, whose sum is σ = 506100000048. Its totient is φ = 506100000046.

The previous prime is 506100000037. The next prime is 506100000061. The reversal of 506100000047 is 740000001605.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 506100000047 - 26 = 506099999983 is a prime.

It is a super-2 number, since 2×5061000000472 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 506099999968 and 506100000031.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (506100000037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253050000023 + 253050000024.

It is an arithmetic number, because the mean of its divisors is an integer number (253050000024).

Almost surely, 2506100000047 is an apocalyptic number.

506100000047 is a deficient number, since it is larger than the sum of its proper divisors (1).

506100000047 is an equidigital number, since it uses as much as digits as its factorization.

506100000047 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 840, while the sum is 23.

The spelling of 506100000047 in words is "five hundred six billion, one hundred million, forty-seven", and thus it is an aban number.