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2122628993 = 1723147712
BaseRepresentation
bin111111010000100…
…1011111110000001
312110221002201120122
41332201023332001
513321343111433
6550343150025
7103413022502
oct17641137601
95427081518
102122628993
1199a194641
124b2a45315
1327a9b1ab4
14161c9aba9
15c6537198
hex7e84bf81

2122628993 has 36 divisors (see below), whose sum is σ = 2411045376. Its totient is φ = 1865539200.

The previous prime is 2122628971. The next prime is 2122629001. The reversal of 2122628993 is 3998262212.

It is a de Polignac number, because none of the positive numbers 2k-2122628993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2122628903) 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 35 ways as a sum of consecutive naturals, for example, 29896148 + ... + 29896218.

Almost surely, 22122628993 is an apocalyptic number.

It is an amenable number.

2122628993 is a deficient number, since it is larger than the sum of its proper divisors (288416383).

2122628993 is an equidigital number, since it uses as much as digits as its factorization.

2122628993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 166 counting only the distinct ones).

The product of its digits is 186624, while the sum is 44.

The square root of 2122628993 is about 46071.9979271574. The cubic root of 2122628993 is about 1285.1624584277.

The spelling of 2122628993 in words is "two billion, one hundred twenty-two million, six hundred twenty-eight thousand, nine hundred ninety-three".

Divisors: 1 17 31 47 71 289 527 799 1207 1457 2201 3337 5041 8959 13583 20519 24769 37417 56729 85697 103447 156271 236927 421073 636089 964393 1456849 1758599 2656607 4027759 7344737 29896183 45162319 68471903 124860529 2122628993