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42661460517 = 3138943128517
BaseRepresentation
bin100111101110110100…
…100011101000100101
311002010011001201222020
4213232310203220211
51144332313214032
631333131053353
73040122300624
oct475664435045
9132104051866
1042661460517
1117102311795
1283272a1259
13403b594180
1420c9c4b6bb
15119a4a7b2c
hex9eed23a25

42661460517 has 32 divisors (see below), whose sum is σ = 62091671040. Its totient is φ = 25897090560.

The previous prime is 42661460477. The next prime is 42661460519. The reversal of 42661460517 is 71506416624.

It is not a de Polignac number, because 42661460517 - 218 = 42661198373 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42661460519) 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 31 ways as a sum of consecutive naturals, for example, 1481743 + ... + 1510259.

It is an arithmetic number, because the mean of its divisors is an integer number (1940364720).

Almost surely, 242661460517 is an apocalyptic number.

It is an amenable number.

42661460517 is a deficient number, since it is larger than the sum of its proper divisors (19430210523).

42661460517 is a wasteful number, since it uses less digits than its factorization.

42661460517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29053.

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 42661460517 in words is "forty-two billion, six hundred sixty-one million, four hundred sixty thousand, five hundred seventeen".

Divisors: 1 3 13 39 89 267 431 1157 1293 3471 5603 16809 28517 38359 85551 115077 370721 498667 1112163 1496001 2538013 7614039 12290827 32994169 36872481 98982507 159780751 479342253 1093883603 3281650809 14220486839 42661460517