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51006147649 is a prime number
BaseRepresentation
bin101111100000001101…
…000000110001000001
311212122201001202201121
4233200031000301001
51313430033211044
635233142432241
73453660046552
oct574015006101
9155581052647
1051006147649
111a6a4705736
129a75a32681
134a6b350172
14267c1dc329
1514d7d8c984
hexbe0340c41

51006147649 has 2 divisors, whose sum is σ = 51006147650. Its totient is φ = 51006147648.

The previous prime is 51006147637. The next prime is 51006147671. The reversal of 51006147649 is 94674160015.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 50505820225 + 500327424 = 224735^2 + 22368^2 .

It is a cyclic number.

It is not a de Polignac number, because 51006147649 - 215 = 51006114881 is a prime.

It is not a weakly prime, because it can be changed into another prime (51006148649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25503073824 + 25503073825.

It is an arithmetic number, because the mean of its divisors is an integer number (25503073825).

Almost surely, 251006147649 is an apocalyptic number.

It is an amenable number.

51006147649 is a deficient number, since it is larger than the sum of its proper divisors (1).

51006147649 is an equidigital number, since it uses as much as digits as its factorization.

51006147649 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 181440, while the sum is 43.

The spelling of 51006147649 in words is "fifty-one billion, six million, one hundred forty-seven thousand, six hundred forty-nine".