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459164728031 = 8325793722973
BaseRepresentation
bin1101010111010000101…
…10011011101011011111
31121220011222102222000012
412223220112123223133
530010332132244111
6550534245353435
745113346535322
oct6535026335337
91556158388005
10459164728031
11167804578249
1274ba540887b
13343b7015b59
141831bb487b9
15be25b5848b
hex6ae859badf

459164728031 has 16 divisors (see below), whose sum is σ = 467023191264. Its totient is φ = 451365617664.

The previous prime is 459164728019. The next prime is 459164728081. The reversal of 459164728031 is 130827461954.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-459164728031 is a prime.

It is a super-2 number, since 2×4591647280312 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (459164728081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19975661 + ... + 19998633.

It is an arithmetic number, because the mean of its divisors is an integer number (29188949454).

It is a 1-persistent number, because it is pandigital, but 2⋅459164728031 = 918329456062 is not.

Almost surely, 2459164728031 is an apocalyptic number.

459164728031 is a deficient number, since it is larger than the sum of its proper divisors (7858463233).

459164728031 is a wasteful number, since it uses less digits than its factorization.

459164728031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24250.

The product of its (nonzero) digits is 1451520, while the sum is 50.

The spelling of 459164728031 in words is "four hundred fifty-nine billion, one hundred sixty-four million, seven hundred twenty-eight thousand, thirty-one".

Divisors: 1 83 257 937 21331 22973 77771 240809 1906759 5904061 19987147 21525701 490037063 1786633183 5532105157 459164728031