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3811026401 = 72135982773
BaseRepresentation
bin1110001100100111…
…1010010111100001
3100211121010012101222
43203021322113201
530301110321101
61430055304425
7163304122100
oct34311722741
910747105358
103811026401
1116862525a6
128a437b115
13489728210
14282202037
1517489801b
hexe327a5e1

3811026401 has 12 divisors (see below), whose sum is σ = 4774253652. Its totient is φ = 3015317088.

The previous prime is 3811026389. The next prime is 3811026413. The reversal of 3811026401 is 1046201183.

It is an interprime number because it is at equal distance from previous prime (3811026389) and next prime (3811026413).

It can be written as a sum of positive squares in 2 ways, for example, as 484044001 + 3326982400 = 22001^2 + 57680^2 .

It is not a de Polignac number, because 3811026401 - 226 = 3743917537 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3811026451) 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 11 ways as a sum of consecutive naturals, for example, 2990750 + ... + 2992023.

It is an arithmetic number, because the mean of its divisors is an integer number (397854471).

Almost surely, 23811026401 is an apocalyptic number.

It is an amenable number.

3811026401 is a deficient number, since it is larger than the sum of its proper divisors (963227251).

3811026401 is a wasteful number, since it uses less digits than its factorization.

3811026401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5982800 (or 5982793 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 3811026401 is about 61733.5111669505. The cubic root of 3811026401 is about 1561.9986437646.

Adding to 3811026401 its reverse (1046201183), we get a palindrome (4857227584).

The spelling of 3811026401 in words is "three billion, eight hundred eleven million, twenty-six thousand, four hundred one".

Divisors: 1 7 13 49 91 637 5982773 41879411 77776049 293155877 544432343 3811026401