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5777327568 = 2431929613581
BaseRepresentation
bin1010110000101101…
…10000010111010000
3112220122001122112010
411120112300113100
543312443440233
62353140102520
7263111321415
oct53026602720
915818048463
105777327568
1124a5172791
121152994a40
13710c03b2c
143cb40810c
1523c300b63
hex1585b05d0

5777327568 has 160 divisors (see below), whose sum is σ = 16523049600. Its totient is φ = 1732147200.

The previous prime is 5777327537. The next prime is 5777327599. The reversal of 5777327568 is 8657237775.

It is an interprime number because it is at equal distance from previous prime (5777327537) and next prime (5777327599).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1611538 + ... + 1615118.

It is an arithmetic number, because the mean of its divisors is an integer number (103269060).

Almost surely, 25777327568 is an apocalyptic number.

5777327568 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5777327568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8261524800).

5777327568 is an abundant number, since it is smaller than the sum of its proper divisors (10745722032).

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

5777327568 is a wasteful number, since it uses less digits than its factorization.

5777327568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3701 (or 3695 counting only the distinct ones).

The product of its digits is 17287200, while the sum is 57.

The square root of 5777327568 is about 76008.7334981974. The cubic root of 5777327568 is about 1794.3575956078.

The spelling of 5777327568 in words is "five billion, seven hundred seventy-seven million, three hundred twenty-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 29 38 48 57 58 61 76 87 114 116 122 152 174 183 228 232 244 304 348 366 456 464 488 551 696 732 912 976 1102 1159 1392 1464 1653 1769 2204 2318 2928 3306 3477 3538 3581 4408 4636 5307 6612 6954 7076 7162 8816 9272 10614 10743 13224 13908 14152 14324 18544 21228 21486 26448 27816 28304 28648 33611 42456 42972 55632 57296 67222 68039 84912 85944 100833 103849 134444 136078 171888 201666 204117 207698 218441 268888 272156 311547 403332 408234 415396 436882 537776 544312 623094 655323 806664 816468 830792 873764 1088624 1246188 1310646 1613328 1632936 1661584 1747528 1973131 2492376 2621292 3265872 3495056 3946262 4150379 4984752 5242584 5919393 6334789 7892524 8300758 10485168 11838786 12451137 12669578 15785048 16601516 19004367 23677572 24902274 25339156 31570096 33203032 38008734 47355144 49804548 50678312 66406064 76017468 94710288 99609096 101356624 120360991 152034936 199218192 240721982 304069872 361082973 481443964 722165946 962887928 1444331892 1925775856 2888663784 5777327568