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24450638689 = 27125772
BaseRepresentation
bin10110110001010111…
…110010001101100001
32100010000012010202201
4112301113302031201
5400033330414224
615122114013201
71523623666621
oct266127621541
970100163681
1024450638689
11a407825814
1248a4577201
1323c878a959
14127d422881
15981858a44
hex5b15f2361

24450638689 has 9 divisors (see below), whose sum is σ = 24583801491. Its totient is φ = 24318195840.

The previous prime is 24450638677. The next prime is 24450638731. The reversal of 24450638689 is 98683605442.

The square root of 24450638689 is 156367.

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., 24281430625 + 169208064 = 155825^2 + 13008^2 .

It is not a de Polignac number, because 24450638689 - 213 = 24450630497 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (24450668689) 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, 42375169 + ... + 42375745.

It is an arithmetic number, because the mean of its divisors is an integer number (2731533499).

Almost surely, 224450638689 is an apocalyptic number.

24450638689 is the 156367-th square number.

24450638689 is the 78184-th centered octagonal number.

It is an amenable number.

24450638689 is a deficient number, since it is larger than the sum of its proper divisors (133162802).

24450638689 is an frugal number, since it uses more digits than its factorization.

24450638689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1696 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 55.

The spelling of 24450638689 in words is "twenty-four billion, four hundred fifty million, six hundred thirty-eight thousand, six hundred eighty-nine".

Divisors: 1 271 577 73441 156367 332929 42375457 90223759 24450638689