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24463149649 = 22926832
BaseRepresentation
bin10110110010000111…
…100000101001010001
32100010212201202120121
4112302013200221101
5400100031242044
615123242110241
71524135225001
oct266207405121
970125652517
1024463149649
11a4138a0454
1248a87ab381
1323cb24b3a3
141280d5c001
159829ca984
hex5b21e0a51

24463149649 has 9 divisors (see below), whose sum is σ = 24606469083. Its totient is φ = 24320662872.

The previous prime is 24463149637. The next prime is 24463149653. The reversal of 24463149649 is 94694136442.

The square root of 24463149649 is 156407.

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

It can be written as a sum of positive squares in only one way, i.e., 22783789249 + 1679360400 = 150943^2 + 40980^2 .

It is not a de Polignac number, because 24463149649 - 225 = 24429595217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 24463149596 and 24463149605.

It is not an unprimeable number, because it can be changed into a prime (24463149349) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 35816862 + ... + 35817544.

Almost surely, 224463149649 is an apocalyptic number.

24463149649 is the 156407-th square number.

24463149649 is the 78204-th centered octagonal number.

It is an amenable number.

24463149649 is a deficient number, since it is larger than the sum of its proper divisors (143319434).

24463149649 is an frugal number, since it uses more digits than its factorization.

24463149649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1824 (or 912 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 52.

The spelling of 24463149649 in words is "twenty-four billion, four hundred sixty-three million, one hundred forty-nine thousand, six hundred forty-nine".

Divisors: 1 229 683 52441 156407 466489 35817203 106825981 24463149649