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459378148321 = 4165291716089
BaseRepresentation
bin1101010111101010001…
…00100100001111100001
31121220201212000211121101
412223311010210033201
530011301301221241
6551011351554401
745121550556031
oct6536504441741
91556655024541
10459378148321
11167903a97054
127504498ba01
133441c2bb751
141833c2218c1
15be39763e31
hex6af51243e1

459378148321 has 8 divisors (see below), whose sum is σ = 470654843400. Its totient is φ = 448104898560.

The previous prime is 459378148279. The next prime is 459378148393. The reversal of 459378148321 is 123841873954.

It can be written as a sum of positive squares in 4 ways, for example, as 56686371921 + 402691776400 = 238089^2 + 634580^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 459378148321 - 27 = 459378148193 is a prime.

It is a super-2 number, since 2×4593781483212 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (459378145321) 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 7 ways as a sum of consecutive naturals, for example, 590356 + ... + 1125733.

It is an arithmetic number, because the mean of its divisors is an integer number (58831855425).

Almost surely, 2459378148321 is an apocalyptic number.

459378148321 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

459378148321 is a deficient number, since it is larger than the sum of its proper divisors (11276695079).

459378148321 is a wasteful number, since it uses less digits than its factorization.

459378148321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722659.

The product of its digits is 5806080, while the sum is 55.

The spelling of 459378148321 in words is "four hundred fifty-nine billion, three hundred seventy-eight million, one hundred forty-eight thousand, three hundred twenty-one".

Divisors: 1 41 6529 267689 1716089 70359649 11204345081 459378148321