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5653366416 = 2432973371201
BaseRepresentation
bin1010100001111011…
…11000011010010000
3112120222210202210100
411100331320122100
543034230211131
62332551132400
7260044551555
oct52075703220
915528722710
105653366416
1124411a5955
121119374100
136c1320c39
143b8b7aa2c
152314b67e6
hex150f78690

5653366416 has 120 divisors (see below), whose sum is σ = 16045464344. Its totient is φ = 1857945600.

The previous prime is 5653366403. The next prime is 5653366417. The reversal of 5653366416 is 6146633565.

5653366416 is a `hidden beast` number, since 56 + 533 + 6 + 64 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 87609600 + 5565756816 = 9360^2 + 74604^2 .

It is not an unprimeable number, because it can be changed into a prime (5653366417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4706616 + ... + 4707816.

Almost surely, 25653366416 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 5653366416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8022732172).

5653366416 is an abundant number, since it is smaller than the sum of its proper divisors (10392097928).

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

5653366416 is a wasteful number, since it uses less digits than its factorization.

5653366416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649 (or 1640 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 45.

The square root of 5653366416 is about 75188.8716233992. The cubic root of 5653366416 is about 1781.4311614230.

The spelling of 5653366416 in words is "five billion, six hundred fifty-three million, three hundred sixty-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 97 144 194 291 337 388 582 674 776 873 1011 1164 1201 1348 1552 1746 2022 2328 2402 2696 3033 3492 3603 4044 4656 4804 5392 6066 6984 7206 8088 9608 10809 12132 13968 14412 16176 19216 21618 24264 28824 32689 43236 48528 57648 65378 86472 98067 116497 130756 172944 196134 232994 261512 294201 349491 392268 404737 465988 523024 588402 698982 784536 809474 931976 1048473 1176804 1214211 1397964 1569072 1618948 1863952 2096946 2353608 2428422 2795928 3237896 3642633 4193892 4707216 4856844 5591856 6475792 7285266 8387784 9713688 14570532 16775568 19427376 29141064 39259489 58282128 78518978 117778467 157037956 235556934 314075912 353335401 471113868 628151824 706670802 942227736 1413341604 1884455472 2826683208 5653366416