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438838677601 = 6624492
BaseRepresentation
bin1100110001011001101…
…00101101000001100001
31112221201102101121122121
412120230310231001201
524142220200140401
6533333311504241
743463555133142
oct6305464550141
91487642347577
10438838677601
1115a123aa1765
1271072228081
13324c7c1c08c
141735042bac9
15b636484ca1
hex662cd2d061

438838677601 has 3 divisors (see below), whose sum is σ = 438839340051. Its totient is φ = 438838015152.

The previous prime is 438838677581. The next prime is 438838677617. The reversal of 438838677601 is 106776838834.

It is a happy number.

The square root of 438838677601 is 662449.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 52899540001 + 385939137600 = 229999^2 + 621240^2 .

It is not a de Polignac number, because 438838677601 - 233 = 430248743009 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 438838677601.

It is not an unprimeable number, because it can be changed into a prime (438838677631) 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 2 ways as a sum of consecutive naturals, for example, 331225 + ... + 993673.

It is an arithmetic number, because the mean of its divisors is an integer number (146279780017).

Almost surely, 2438838677601 is an apocalyptic number.

438838677601 is the 662449-th square number.

438838677601 is the 331225-th centered octagonal number.

It is an amenable number.

438838677601 is a deficient number, since it is larger than the sum of its proper divisors (662450).

438838677601 is an frugal number, since it uses more digits than its factorization.

438838677601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324898 (or 662449 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 61.

The spelling of 438838677601 in words is "four hundred thirty-eight billion, eight hundred thirty-eight million, six hundred seventy-seven thousand, six hundred one".

Divisors: 1 662449 438838677601