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12958990211 = 231272181193
BaseRepresentation
bin11000001000110101…
…00111111110000011
31020110010121220121102
430010122213332003
5203020000141321
65541524045015
7636064412366
oct140432477603
936403556542
1012958990211
115550015172
122617b3376b
1312b6a4365b
148ad1320dd
1550ca50c0b
hex3046a7f83

12958990211 has 24 divisors (see below), whose sum is σ = 13776051744. Its totient is φ = 12166640640.

The previous prime is 12958990207. The next prime is 12958990241. The reversal of 12958990211 is 11209985921.

12958990211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12958990211 - 22 = 12958990207 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12958990241) 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 23 ways as a sum of consecutive naturals, for example, 67144931 + ... + 67145123.

It is an arithmetic number, because the mean of its divisors is an integer number (574002156).

Almost surely, 212958990211 is an apocalyptic number.

12958990211 is a deficient number, since it is larger than the sum of its proper divisors (817061533).

12958990211 is a wasteful number, since it uses less digits than its factorization.

12958990211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 47.

The spelling of 12958990211 in words is "twelve billion, nine hundred fifty-eight million, nine hundred ninety thousand, two hundred eleven".

Divisors: 1 23 127 181 193 2921 4163 4439 16129 22987 24511 34933 370967 528701 563753 803459 2919349 3112897 4436491 67145027 71596631 102039293 563434357 12958990211