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5785288992 = 2532723124769
BaseRepresentation
bin1010110001101010…
…01000000100100000
3112221012001010112200
411120311020010200
543322013221432
62354022453200
7263236100520
oct53065100440
915835033480
105785288992
1124a971027a
121155594200
13712760832
143cc4bb680
1523cd74a7c
hex158d48120

5785288992 has 144 divisors (see below), whose sum is σ = 19619832960. Its totient is φ = 1581060096.

The previous prime is 5785288987. The next prime is 5785288997. The reversal of 5785288992 is 2998825875.

5785288992 is a `hidden beast` number, since 578 + 52 + 8 + 8 + 9 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (5785288987) and next prime (5785288997).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (5785288997) 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, 16017 + ... + 108752.

It is an arithmetic number, because the mean of its divisors is an integer number (136248840).

Almost surely, 25785288992 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 5785288992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9809916480).

5785288992 is an abundant number, since it is smaller than the sum of its proper divisors (13834543968).

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

5785288992 is a wasteful number, since it uses less digits than its factorization.

5785288992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124815 (or 124804 counting only the distinct ones).

The product of its digits is 29030400, while the sum is 63.

The square root of 5785288992 is about 76061.0872391396. The cubic root of 5785288992 is about 1795.1814531432.

The spelling of 5785288992 in words is "five billion, seven hundred eighty-five million, two hundred eighty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 32 36 42 46 48 56 63 69 72 84 92 96 112 126 138 144 161 168 184 207 224 252 276 288 322 336 368 414 483 504 552 644 672 736 828 966 1008 1104 1288 1449 1656 1932 2016 2208 2576 2898 3312 3864 5152 5796 6624 7728 11592 15456 23184 46368 124769 249538 374307 499076 748614 873383 998152 1122921 1497228 1746766 1996304 2245842 2620149 2869687 2994456 3493532 3992608 4491684 5240298 5739374 5988912 6987064 7860447 8609061 8983368 10480596 11478748 11977824 13974128 15720894 17218122 17966736 20087809 20961192 22957496 25827183 27948256 31441788 34436244 35933472 40175618 41922384 45914992 51654366 60263427 62883576 68872488 80351236 83844768 91829984 103308732 120526854 125767152 137744976 160702472 180790281 206617464 241053708 251534304 275489952 321404944 361580562 413234928 482107416 642809888 723161124 826469856 964214832 1446322248 1928429664 2892644496 5785288992