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3126641013 = 33130388873
BaseRepresentation
bin1011101001011100…
…1100000101110101
322001220022211011000
42322113030011311
522400410003023
61234130433513
7140324003316
oct27227140565
98056284130
103126641013
1113649a8741
12733132899
133aa9c5152
1421937060d
1513475c243
hexba5cc175

3126641013 has 16 divisors (see below), whose sum is σ = 4635667840. Its totient is φ = 2082804192.

The previous prime is 3126641009. The next prime is 3126641029. The reversal of 3126641013 is 3101466213.

3126641013 is a `hidden beast` number, since 3 + 1 + 2 + 6 + 641 + 0 + 13 = 666.

It is not a de Polignac number, because 3126641013 - 22 = 3126641009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3126641033) 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 15 ways as a sum of consecutive naturals, for example, 9256 + ... + 79617.

It is an arithmetic number, because the mean of its divisors is an integer number (289729240).

Almost surely, 23126641013 is an apocalyptic number.

It is an amenable number.

3126641013 is a deficient number, since it is larger than the sum of its proper divisors (1509026827).

3126641013 is a wasteful number, since it uses less digits than its factorization.

3126641013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90185 (or 90179 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3126641013 is about 55916.3751775810. The cubic root of 3126641013 is about 1462.2647363841.

The spelling of 3126641013 in words is "three billion, one hundred twenty-six million, six hundred forty-one thousand, thirteen".

Divisors: 1 3 9 27 1303 3909 11727 35181 88873 266619 799857 2399571 115801519 347404557 1042213671 3126641013