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2114648679 = 31113371271049
BaseRepresentation
bin111111000001010…
…1111101001100111
312110101002021122110
41332002233221213
513312322224204
6545500132103
7103255134333
oct17602575147
95411067573
102114648679
11995733940
124b0237033
13279149610
14160bc07c3
15c59ac889
hex7e0afa67

2114648679 has 64 divisors (see below), whose sum is σ = 3432038400. Its totient is φ = 1140894720.

The previous prime is 2114648659. The next prime is 2114648699. The reversal of 2114648679 is 9768464112.

It is an interprime number because it is at equal distance from previous prime (2114648659) and next prime (2114648699).

It is not a de Polignac number, because 2114648679 - 215 = 2114615911 is a prime.

It is a super-3 number, since 3×21146486793 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114648639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2015347 + ... + 2016395.

It is an arithmetic number, because the mean of its divisors is an integer number (53625600).

Almost surely, 22114648679 is an apocalyptic number.

2114648679 is a deficient number, since it is larger than the sum of its proper divisors (1317389721).

2114648679 is a wasteful number, since it uses less digits than its factorization.

2114648679 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240.

The product of its digits is 580608, while the sum is 48.

The square root of 2114648679 is about 45985.3093824539. The cubic root of 2114648679 is about 1283.5498544585.

The spelling of 2114648679 in words is "two billion, one hundred fourteen million, six hundred forty-eight thousand, six hundred seventy-nine".

Divisors: 1 3 11 13 33 37 39 111 127 143 381 407 429 481 1049 1221 1397 1443 1651 3147 4191 4699 4953 5291 11539 13637 14097 15873 18161 34617 38813 40911 51689 54483 61087 116439 133223 150007 155067 183261 399669 426943 450021 504569 671957 1280829 1465453 1513707 1731899 2015871 4396359 4929251 5195697 5550259 14787753 16650777 19050889 54221761 57152667 64080263 162665283 192240789 704882893 2114648679