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21948193141 = 722319474883
BaseRepresentation
bin10100011100001101…
…101101100101110101
32002122121101201211021
4110130031231211311
5324422214140031
614025521541141
71404616364200
oct243415554565
962577351737
1021948193141
1193432013a6
1243064a47b1
1320ba1b3344
1410c2d36937
15886ce8511
hex51c36d975

21948193141 has 12 divisors (see below), whose sum is σ = 26641641312. Its totient is φ = 17994790968.

The previous prime is 21948193123. The next prime is 21948193153. The reversal of 21948193141 is 14139184912.

It is not a de Polignac number, because 21948193141 - 27 = 21948193013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21948193741) 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 11 ways as a sum of consecutive naturals, for example, 9736315 + ... + 9738568.

It is an arithmetic number, because the mean of its divisors is an integer number (2220136776).

Almost surely, 221948193141 is an apocalyptic number.

It is an amenable number.

21948193141 is a deficient number, since it is larger than the sum of its proper divisors (4693448171).

21948193141 is a wasteful number, since it uses less digits than its factorization.

21948193141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19474920 (or 19474913 counting only the distinct ones).

The product of its digits is 62208, while the sum is 43.

The spelling of 21948193141 in words is "twenty-one billion, nine hundred forty-eight million, one hundred ninety-three thousand, one hundred forty-one".

Divisors: 1 7 23 49 161 1127 19474883 136324181 447922309 954269267 3135456163 21948193141