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2114051667 = 37137743779
BaseRepresentation
bin111111000000001…
…1101111001010011
312110022221221200220
41332000131321103
513312144123132
6545435244123
7103250066640
oct17600357123
95408857626
102114051667
11995366342
124abba9643
13278c9a960
14160aa6dc7
15c58e0a2c
hex7e01de53

2114051667 has 16 divisors (see below), whose sum is σ = 3469213440. Its totient is φ = 1115104032.

The previous prime is 2114051633. The next prime is 2114051683. The reversal of 2114051667 is 7661504112.

It is not a de Polignac number, because 2114051667 - 27 = 2114051539 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2114051627) 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, 3871617 + ... + 3872162.

It is an arithmetic number, because the mean of its divisors is an integer number (216825840).

Almost surely, 22114051667 is an apocalyptic number.

2114051667 is a deficient number, since it is larger than the sum of its proper divisors (1355161773).

2114051667 is a wasteful number, since it uses less digits than its factorization.

2114051667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7743802.

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 2114051667 is about 45978.8175902774. The cubic root of 2114051667 is about 1283.4290516039.

Adding to 2114051667 its reverse (7661504112), we get a palindrome (9775555779).

The spelling of 2114051667 in words is "two billion, one hundred fourteen million, fifty-one thousand, six hundred sixty-seven".

Divisors: 1 3 7 13 21 39 91 273 7743779 23231337 54206453 100669127 162619359 302007381 704683889 2114051667