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426871839481 = 4561684113681
BaseRepresentation
bin1100011011000111000…
…10110101101011111001
31111210211102200020211221
412031203202311223321
523443213142330411
6524034024552041
742561165524233
oct6154342655371
91453742606757
10426871839481
111550430300aa
126a892622621
133133b8c8789
1416936da3253
15b185ab5071
hex63638b5af9

426871839481 has 8 divisors (see below), whose sum is σ = 427059057128. Its totient is φ = 426684672000.

The previous prime is 426871839437. The next prime is 426871839517. The reversal of 426871839481 is 184938178624.

426871839481 = T1 + T2 + ... + T13681.

426871839481 is a nontrivial binomial coefficient, being equal to C(13683, 3).

It can be written as a sum of positive squares in 4 ways, for example, as 180781433856 + 246090405625 = 425184^2 + 496075^2 .

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

It is a 5-Lehmer number, since φ(426871839481) divides (426871839481-1)5.

It is a cyclic number.

It is not a de Polignac number, because 426871839481 - 213 = 426871831289 is a prime.

It is a super-3 number, since 3×4268718394813 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (426871839781) by changing a digit.

It is the 13681-st tetrahedral number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31194961 + ... + 31208641.

It is an arithmetic number, because the mean of its divisors is an integer number (53382382141).

Almost surely, 2426871839481 is an apocalyptic number.

It is an amenable number.

426871839481 is a deficient number, since it is larger than the sum of its proper divisors (187217647).

426871839481 is a wasteful number, since it uses less digits than its factorization.

426871839481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25083.

The product of its digits is 18579456, while the sum is 61.

The spelling of 426871839481 in words is "four hundred twenty-six billion, eight hundred seventy-one million, eight hundred thirty-nine thousand, four hundred eighty-one".

Divisors: 1 4561 6841 13681 31201801 62399041 93591721 426871839481