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50400746324617 = 1321773240313673
BaseRepresentation
bin10110111010110110101101…
…00101001100001010001001
320121110021010200001212001011
423131123112211030022021
523101231212024341432
6255105441101523521
713421222323112503
oct1335332645141211
9217407120055034
1050400746324617
11150719223a0197
1257a0003b735a1
132217a0186cc00
14c635a2962d73
155c608bd2b847
hex2dd6d694c289

50400746324617 has 24 divisors (see below), whose sum is σ = 58577899919544. Its totient is φ = 43187250622464.

The previous prime is 50400746324597. The next prime is 50400746324657. The reversal of 50400746324617 is 71642364700405.

50400746324617 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 5302685195536 + 45098061129081 = 2302756^2 + 6715509^2 .

It is not a de Polignac number, because 50400746324617 - 215 = 50400746291849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (50400746324657) 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 in 23 ways as a sum of consecutive naturals, for example, 119947108 + ... + 120366565.

It is an arithmetic number, because the mean of its divisors is an integer number (2440745829981).

Almost surely, 250400746324617 is an apocalyptic number.

It is an amenable number.

50400746324617 is a deficient number, since it is larger than the sum of its proper divisors (8177153594927).

50400746324617 is a wasteful number, since it uses less digits than its factorization.

50400746324617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240313789 (or 240313776 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 49.

The spelling of 50400746324617 in words is "fifty trillion, four hundred billion, seven hundred forty-six million, three hundred twenty-four thousand, six hundred seventeen".

Divisors: 1 13 17 73 169 221 949 1241 2873 12337 16133 209729 240313673 3124077749 4085332441 17542898129 40613010737 53109321733 228057675677 298229268193 690421182529 2964749783801 3876980486509 50400746324617