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5673143304 = 23321711341017
BaseRepresentation
bin1010100100010010…
…10100110000001000
3112122101000112120200
411102021110300020
543104311041204
62334535052200
7260404631253
oct52211246010
915571015520
105673143304
112451383594
121123b11060
136c545693a
143bb64809a
152330c1539
hex152254c08

5673143304 has 96 divisors (see below), whose sum is σ = 16412942520. Its totient is φ = 1764016128.

The previous prime is 5673143303. The next prime is 5673143323. The reversal of 5673143304 is 4033413765.

5673143304 is a `hidden beast` number, since 5 + 6 + 7 + 314 + 330 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4674456900 + 998686404 = 68370^2 + 31602^2 .

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

It is not an unprimeable number, because it can be changed into a prime (5673143303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117804 + ... + 158820.

Almost surely, 25673143304 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 5673143304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8206471260).

5673143304 is an abundant number, since it is smaller than the sum of its proper divisors (10739799216).

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

5673143304 is a wasteful number, since it uses less digits than its factorization.

5673143304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41159 (or 41152 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 5673143304 is about 75320.2715342955. The cubic root of 5673143304 is about 1783.5060408933.

The spelling of 5673143304 in words is "five billion, six hundred seventy-three million, one hundred forty-three thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 113 136 153 204 226 306 339 408 452 612 678 904 1017 1224 1356 1921 2034 2712 3842 4068 5763 7684 8136 11526 15368 17289 23052 34578 41017 46104 69156 82034 123051 138312 164068 246102 328136 369153 492204 697289 738306 984408 1394578 1476612 2091867 2789156 2953224 4183734 4634921 5578312 6275601 8367468 9269842 12551202 13904763 16734936 18539684 25102404 27809526 37079368 41714289 50204808 55619052 78793657 83428578 111238104 157587314 166857156 236380971 315174628 333714312 472761942 630349256 709142913 945523884 1418285826 1891047768 2836571652 5673143304