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2114771893 = 131097012129
BaseRepresentation
bin111111000001100…
…1101101110110101
312110101022112122221
41332003031232311
513312340200033
6545502522341
7103256156503
oct17603155665
95411275587
102114771893
11995808473
124b02963b1
13279190720
14160c13673
15c59d412d
hex7e0cdbb5

2114771893 has 16 divisors (see below), whose sum is σ = 2302700400. Its totient is φ = 1930521600.

The previous prime is 2114771873. The next prime is 2114771929. The reversal of 2114771893 is 3981774112.

It can be written as a sum of positive squares in 8 ways, for example, as 887364 + 2113884529 = 942^2 + 45977^2 .

It is a cyclic number.

It is not a de Polignac number, because 2114771893 - 221 = 2112674741 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114771833) 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 15 ways as a sum of consecutive naturals, for example, 992253 + ... + 994381.

It is an arithmetic number, because the mean of its divisors is an integer number (143918775).

Almost surely, 22114771893 is an apocalyptic number.

It is an amenable number.

2114771893 is a deficient number, since it is larger than the sum of its proper divisors (187928507).

2114771893 is a wasteful number, since it uses less digits than its factorization.

2114771893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2952.

The product of its digits is 84672, while the sum is 43.

The square root of 2114771893 is about 45986.6490733996. The cubic root of 2114771893 is about 1283.5747834600.

The spelling of 2114771893 in words is "two billion, one hundred fourteen million, seven hundred seventy-one thousand, eight hundred ninety-three".

Divisors: 1 13 109 701 1417 2129 9113 27677 76409 232061 993317 1492429 3016793 19401577 162674761 2114771893