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3146006413 = 112149211827
BaseRepresentation
bin1011101110000100…
…0011111110001101
322010020202200111001
42323201003332031
522420334201123
61240101500301
7140650420234
oct27341037615
98106680431
103146006413
111374925200
12739711691
133b1a15774
1421bb71b1b
151362d50ad
hexbb843f8d

3146006413 has 24 divisors (see below), whose sum is σ = 3501943200. Its totient is φ = 2823928800.

The previous prime is 3146006411. The next prime is 3146006419.

3146006413 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3146006413 - 21 = 3146006411 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3146006411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3803706 + ... + 3804532.

It is an arithmetic number, because the mean of its divisors is an integer number (145914300).

Almost surely, 23146006413 is an apocalyptic number.

It is an amenable number.

3146006413 is a deficient number, since it is larger than the sum of its proper divisors (355936787).

3146006413 is a wasteful number, since it uses less digits than its factorization.

3146006413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 3146006413 is about 56089.2718173449. The cubic root of 3146006413 is about 1465.2774560982.

The spelling of 3146006413 in words is "three billion, one hundred forty-six million, six thousand, four hundred thirteen".

Divisors: 1 11 121 149 211 827 1639 2321 9097 18029 25531 31439 100067 123223 174497 345829 1355453 1919467 3804119 14909983 21114137 26000053 286000583 3146006413