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714846648417 = 31127778202237
BaseRepresentation
bin10100110011100000010…
…11100011100001100001
32112100010220002021121020
422121300023203201201
543203001220222132
61304221312320053
7102434365153536
oct12316013434141
92470126067536
10714846648417
1125618a32a370
12b6660843029
13525432b26c5
142685500ad8d
15138dc6c952c
hexa6702e3861

714846648417 has 16 divisors (see below), whose sum is σ = 1043530663872. Its totient is φ = 431676342720.

The previous prime is 714846648413. The next prime is 714846648421.

714846648417 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (714846648413) and next prime (714846648421).

It is not a de Polignac number, because 714846648417 - 22 = 714846648413 is a prime.

It is a super-2 number, since 2×7148466484172 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (714846648413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39091978 + ... + 39110259.

It is an arithmetic number, because the mean of its divisors is an integer number (65220666492).

Almost surely, 2714846648417 is an apocalyptic number.

It is an amenable number.

714846648417 is a deficient number, since it is larger than the sum of its proper divisors (328684015455).

714846648417 is a wasteful number, since it uses less digits than its factorization.

714846648417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78202528.

The product of its digits is 28901376, while the sum is 60.

The spelling of 714846648417 in words is "seven hundred fourteen billion, eight hundred forty-six million, six hundred forty-eight thousand, four hundred seventeen".

Divisors: 1 3 11 33 277 831 3047 9141 78202237 234606711 860224607 2580673821 21662019649 64986058947 238282216139 714846648417