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24808455049 = 72225012
BaseRepresentation
bin10111000110101100…
…101111101110001001
32101000221111002112111
4113012230233232021
5401301431030144
615221415142321
71535530250200
oct270654575611
971027432474
1024808455049
11a5807a9514
1249843749a1
13245494c801
1412b4b66237
159a2e88534
hex5c6b2fb89

24808455049 has 9 divisors (see below), whose sum is σ = 28860097671. Its totient is φ = 21263445000.

The previous prime is 24808455047. The next prime is 24808455107. The reversal of 24808455049 is 94055480842.

The square root of 24808455049 is 157507.

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., 24804045049 + 4410000 = 157493^2 + 2100^2 .

It is not a de Polignac number, because 24808455049 - 21 = 24808455047 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 24808454993 and 24808455011.

It is not an unprimeable number, because it can be changed into a prime (24808455047) 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, 1091299 + ... + 1113799.

It is an arithmetic number, because the mean of its divisors is an integer number (3206677519).

Almost surely, 224808455049 is an apocalyptic number.

24808455049 is the 157507-th square number.

24808455049 is the 78754-th centered octagonal number.

It is an amenable number.

24808455049 is a deficient number, since it is larger than the sum of its proper divisors (4051642622).

24808455049 is an frugal number, since it uses more digits than its factorization.

24808455049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45016 (or 22508 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 49.

Multiplying 24808455049 by its sum of digits (49), we get a square (1215614297401 = 11025492).

24808455049 divided by its sum of digits (49) gives a square (506295001 = 225012).

The spelling of 24808455049 in words is "twenty-four billion, eight hundred eight million, four hundred fifty-five thousand, forty-nine".

Divisors: 1 7 49 22501 157507 1102549 506295001 3544065007 24808455049