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45205560761 = 177389409289
BaseRepresentation
bin101010000110011101…
…100001110110111001
311022200110020102102012
4222012131201312321
51220040110421021
632433412015305
73160143632534
oct520635416671
9138613212365
1045205560761
11181983a6979
128917301535
13435569452a
14228ba9ba1b
1512989e535b
hexa86761db9

45205560761 has 16 divisors (see below), whose sum is σ = 49065685200. Its totient is φ = 41491980288.

The previous prime is 45205560739. The next prime is 45205560767. The reversal of 45205560761 is 16706550254.

It can be written as a sum of positive squares in 8 ways, for example, as 269616400 + 44935944361 = 16420^2 + 211981^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-45205560761 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45205560767) 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 15 ways as a sum of consecutive naturals, for example, 94196 + ... + 315093.

It is an arithmetic number, because the mean of its divisors is an integer number (3066605325).

Almost surely, 245205560761 is an apocalyptic number.

It is an amenable number.

45205560761 is a deficient number, since it is larger than the sum of its proper divisors (3860124439).

45205560761 is a wasteful number, since it uses less digits than its factorization.

45205560761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409468.

The product of its (nonzero) digits is 252000, while the sum is 41.

The spelling of 45205560761 in words is "forty-five billion, two hundred five million, five hundred sixty thousand, seven hundred sixty-one".

Divisors: 1 17 73 89 1241 1513 6497 110449 409289 6957913 29878097 36426721 507927649 619254257 2659150633 45205560761