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24331944169 = 136712
BaseRepresentation
bin10110101010010011…
…000000000011101001
32022210201211211111101
4112222103000003221
5344312434203134
615102234001401
71520653053511
oct265223000351
968721754441
1024331944169
11a356825875
124870876261
1323aa000000
14126b766841
1597620ee14
hex5aa4c00e9

24331944169 has 21 divisors (see below), whose sum is σ = 26736096859. Its totient is φ = 22143914520.

The previous prime is 24331944163. The next prime is 24331944223. The reversal of 24331944169 is 96144913342.

The square root of 24331944169 is 155987.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 20875915225 + 3456028944 = 144485^2 + 58788^2 .

It is not a de Polignac number, because 24331944169 - 229 = 23795073257 is a prime.

It is a super-2 number, since 2×243319441692 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (24331944163) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 342703404 + ... + 342703474.

Almost surely, 224331944169 is an apocalyptic number.

24331944169 is the 155987-th square number.

24331944169 is the 77994-th centered octagonal number.

It is an amenable number.

24331944169 is a deficient number, since it is larger than the sum of its proper divisors (2404152690).

24331944169 is an frugal number, since it uses more digits than its factorization.

24331944169 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 84 counting only the distinct ones).

The product of its digits is 559872, while the sum is 46.

The spelling of 24331944169 in words is "twenty-four billion, three hundred thirty-one million, nine hundred forty-four thousand, one hundred sixty-nine".

Divisors: 1 13 71 169 923 2197 5041 11999 28561 65533 155987 371293 851929 2027831 4826809 11075077 26361803 143976001 342703439 1871688013 24331944169