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438716429017 = 1272269101117
BaseRepresentation
bin1100110001001011000…
…10010111001011011001
31112221101220100202010021
412120211202113023121
524141442401212032
6533313223350441
743460542055236
oct6304542271331
91487356322107
10438716429017
1115a070a94579
12710392b2421
13324a87b8839
141733c0c878d
15b62a888097
hex66258972d9

438716429017 has 12 divisors (see below), whose sum is σ = 443846338020. Its totient is φ = 433639606176.

The previous prime is 438716428999. The next prime is 438716429051. The reversal of 438716429017 is 710924617834.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 87412470336 + 351303958681 = 295656^2 + 592709^2 .

It is not a de Polignac number, because 438716429017 - 211 = 438716426969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (438716423017) 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 11 ways as a sum of consecutive naturals, for example, 4288143 + ... + 4389259.

It is an arithmetic number, because the mean of its divisors is an integer number (36987194835).

Almost surely, 2438716429017 is an apocalyptic number.

It is an amenable number.

438716429017 is a deficient number, since it is larger than the sum of its proper divisors (5129909003).

438716429017 is a wasteful number, since it uses less digits than its factorization.

438716429017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101640 (or 101513 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 52.

The spelling of 438716429017 in words is "four hundred thirty-eight billion, seven hundred sixteen million, four hundred twenty-nine thousand, seventeen".

Divisors: 1 127 269 16129 34163 101117 4338701 12841859 27200473 1630916093 3454460071 438716429017