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16993214953 = 11213101106961
BaseRepresentation
bin11111101001101111…
…11110000111101001
31121212021201202120121
433310313332013221
5234300230334303
611450115323241
71141051641511
oct176467760751
947767652517
1016993214953
117230254a00
123362bb0521
1317aa788ca0
14b72c34841
15696cd69bd
hex3f4dfe1e9

16993214953 has 24 divisors (see below), whose sum is σ = 20314650888. Its totient is φ = 14118720000.

The previous prime is 16993214939. The next prime is 16993214969. The reversal of 16993214953 is 35941239961.

It can be written as a sum of positive squares in 4 ways, for example, as 1890771289 + 15102443664 = 43483^2 + 122892^2 .

It is a de Polignac number, because none of the positive numbers 2k-16993214953 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 16993214953.

It is not an unprimeable number, because it can be changed into a prime (16993214993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105393 + ... + 212353.

It is an arithmetic number, because the mean of its divisors is an integer number (846443787).

Almost surely, 216993214953 is an apocalyptic number.

16993214953 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

16993214953 is a deficient number, since it is larger than the sum of its proper divisors (3321435935).

16993214953 is a wasteful number, since it uses less digits than its factorization.

16993214953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107097 (or 107086 counting only the distinct ones).

The product of its digits is 1574640, while the sum is 52.

The spelling of 16993214953 in words is "sixteen billion, nine hundred ninety-three million, two hundred fourteen thousand, nine hundred fifty-three".

Divisors: 1 11 13 101 121 143 1111 1313 1573 12221 14443 106961 158873 1176571 1390493 10803061 12942281 15295423 118833671 140439793 168249653 1307170381 1544837723 16993214953