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5468978249 = 73231514591
BaseRepresentation
bin1010001011111100…
…11111110001001001
3112010010211212202222
411011332133301021
542200024300444
62302403103425
7252345356000
oct50576376111
915103755688
105468978249
112357106339
121087671b75
13692071907
1439c49dc37
152201e2eee
hex145f9fc49

5468978249 has 32 divisors (see below), whose sum is σ = 6700646400. Its totient is φ = 4453218000.

The previous prime is 5468978231. The next prime is 5468978279. The reversal of 5468978249 is 9428798645.

It is a de Polignac number, because none of the positive numbers 2k-5468978249 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5468978191 and 5468978200.

It is not an unprimeable number, because it can be changed into a prime (5468978219) 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 31 ways as a sum of consecutive naturals, for example, 1188944 + ... + 1193534.

It is an arithmetic number, because the mean of its divisors is an integer number (209395200).

Almost surely, 25468978249 is an apocalyptic number.

It is an amenable number.

5468978249 is a deficient number, since it is larger than the sum of its proper divisors (1231668151).

5468978249 is a wasteful number, since it uses less digits than its factorization.

5468978249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4786 (or 4772 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 62.

The square root of 5468978249 is about 73952.5405175508. The cubic root of 5468978249 is about 1761.8491937440.

The spelling of 5468978249 in words is "five billion, four hundred sixty-eight million, nine hundred seventy-eight thousand, two hundred forty-nine".

Divisors: 1 7 23 49 151 161 343 1057 1127 3473 4591 7399 7889 24311 32137 51793 105593 170177 224959 693241 739151 1191239 1574713 4852687 5174057 15944543 33968809 36218399 111611801 237781663 781282607 5468978249