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12844050921 = 32131011086913
BaseRepresentation
bin10111111011001000…
…01010100111101001
31020011010100101112200
423331210022213221
5202301034112141
65522300330413
7633200426412
oct137544124751
936133311480
1012844050921
1154a114a619
1225a5543a09
131298c9c040
1489bb72809
155028e9ab6
hex2fd90a9e9

12844050921 has 24 divisors (see below), whose sum is σ = 20177471496. Its totient is φ = 7825766400.

The previous prime is 12844050887. The next prime is 12844050971. The reversal of 12844050921 is 12905044821.

12844050921 is a `hidden beast` number, since 12 + 84 + 40 + 509 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3095253225 + 9748797696 = 55635^2 + 98736^2 .

It is not a de Polignac number, because 12844050921 - 227 = 12709833193 is a prime.

It is a super-2 number, since 2×128440509212 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12844050971) 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 23 ways as a sum of consecutive naturals, for example, 531640 + ... + 555273.

It is an arithmetic number, because the mean of its divisors is an integer number (840727979).

Almost surely, 212844050921 is an apocalyptic number.

It is an amenable number.

12844050921 is a deficient number, since it is larger than the sum of its proper divisors (7333420575).

12844050921 is a wasteful number, since it uses less digits than its factorization.

12844050921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087033 (or 1087030 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 12844050921 in words is "twelve billion, eight hundred forty-four million, fifty thousand, nine hundred twenty-one".

Divisors: 1 3 9 13 39 101 117 303 909 1313 3939 11817 1086913 3260739 9782217 14129869 42389607 109778213 127168821 329334639 988003917 1427116769 4281350307 12844050921