Search a number
-
+
5600719829056 = 26112268932
BaseRepresentation
bin101000110000000010011…
…1010100111100001000000
3201211102102210110021201211
41101200010322213201000
51213230233234012211
615524533555135504
71115432026026142
oct121400472474100
921742383407654
105600719829056
11186a285373300
127655598a4594
133181b7bb4511
1415510d486c92
159aa4a87be21
hex51804ea7840

5600719829056 has 63 divisors (see below), whose sum is σ = 12216590453613. Its totient is φ = 2545687077120.

The previous prime is 5600719829053. The next prime is 5600719829069. The reversal of 5600719829056 is 6509289170065.

The square root of 5600719829056 is 2366584.

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., 5334067393600 + 266652435456 = 2309560^2 + 516384^2 .

It is a super-2 number, since 2×56007198290562 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5600719829053) 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, 208245946 + ... + 208272838.

Almost surely, 25600719829056 is an apocalyptic number.

5600719829056 is the 2366584-th square number.

It is an amenable number.

5600719829056 is an abundant number, since it is smaller than the sum of its proper divisors (6615870624557).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5600719829056 is an frugal number, since it uses more digits than its factorization.

5600719829056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53820 (or 26906 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 58.

The spelling of 5600719829056 in words is "five trillion, six hundred billion, seven hundred nineteen million, eight hundred twenty-nine thousand, fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1936 3872 7744 26893 53786 107572 215144 295823 430288 591646 860576 1183292 1721152 2366584 3254053 4733168 6508106 9466336 13016212 18932672 26032424 52064848 104129696 208259392 723233449 1446466898 2892933796 5785867592 7955567939 11571735184 15911135878 23143470368 31822271756 46286940736 63644543512 87511247329 127289087024 175022494658 254578174048 350044989316 509156348096 700089978632 1400179957264 2800359914528 5600719829056