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45759470049 = 34953592793
BaseRepresentation
bin101010100111011110…
…100001100111100001
311101010001111221010000
4222213132201213201
51222203411020144
633004400130213
73206651035446
oct524736414741
9141101457100
1045759470049
1118452034147
128a50906969
1344133731c7
1423014879cd
1512cc45b769
hexaa77a19e1

45759470049 has 20 divisors (see below), whose sum is σ = 68428582596. Its totient is φ = 30474251136.

The previous prime is 45759470033. The next prime is 45759470051. The reversal of 45759470049 is 94007495754.

45759470049 is a `hidden beast` number, since 4 + 5 + 7 + 594 + 7 + 0 + 0 + 49 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21066490449 + 24692979600 = 145143^2 + 157140^2 .

It is not a de Polignac number, because 45759470049 - 24 = 45759470033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 45759469977 and 45759470004.

It is not an unprimeable number, because it can be changed into a prime (45759470749) 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 in 19 ways as a sum of consecutive naturals, for example, 219204 + ... + 373589.

Almost surely, 245759470049 is an apocalyptic number.

It is an amenable number.

45759470049 is a deficient number, since it is larger than the sum of its proper divisors (22669112547).

45759470049 is an equidigital number, since it uses as much as digits as its factorization.

45759470049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593758 (or 593749 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 45759470049 in words is "forty-five billion, seven hundred fifty-nine million, four hundred seventy thousand, forty-nine".

Divisors: 1 3 9 27 81 953 2859 8577 25731 77193 592793 1778379 5335137 16005411 48016233 564931729 1694795187 5084385561 15253156683 45759470049