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5712244416 = 26343313329
BaseRepresentation
bin1010101000111100…
…11110111011000000
3112202002121002020000
411110132132323000
543144313310131
62342453120000
7261361163544
oct52436367300
915662532200
105712244416
11247145a85a
121135029000
137005972a8
143c2905a24
15236746ce6
hex15479eec0

5712244416 has 140 divisors (see below), whose sum is σ = 16989140520. Its totient is φ = 1897758720.

The previous prime is 5712244403. The next prime is 5712244423. The reversal of 5712244416 is 6144422175.

5712244416 is a `hidden beast` number, since 571 + 2 + 2 + 44 + 41 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1714240 + ... + 1717568.

Almost surely, 25712244416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5712244416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8494570260).

5712244416 is an abundant number, since it is smaller than the sum of its proper divisors (11276896104).

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

5712244416 is a wasteful number, since it uses less digits than its factorization.

5712244416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3684 (or 3665 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 5712244416 is about 75579.3914767776. The cubic root of 5712244416 is about 1787.5941604008.

The spelling of 5712244416 in words is "five billion, seven hundred twelve million, two hundred forty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 331 432 576 648 662 864 993 1296 1324 1728 1986 2592 2648 2979 3329 3972 5184 5296 5958 6658 7944 8937 9987 10592 11916 13316 15888 17874 19974 21184 23832 26632 26811 29961 31776 35748 39948 47664 53264 53622 59922 63552 71496 79896 89883 95328 106528 107244 119844 142992 159792 179766 190656 213056 214488 239688 269649 285984 319584 359532 428976 479376 539298 571968 639168 719064 857952 958752 1078596 1101899 1438128 1715904 1917504 2157192 2203798 2876256 3305697 4314384 4407596 5752512 6611394 8628768 8815192 9917091 13222788 17257536 17630384 19834182 26445576 29751273 35260768 39668364 52891152 59502546 70521536 79336728 89253819 105782304 119005092 158673456 178507638 211564608 238010184 317346912 357015276 476020368 634693824 714030552 952040736 1428061104 1904081472 2856122208 5712244416