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5776077312 = 29326120549
BaseRepresentation
bin1010110000100011…
…11111001000000000
3112220112201010111100
411120101333020000
543312133433222
62353053214400
7263064563355
oct53021771000
915815633440
105776077312
1124a4499415
121152491400
13710886a35
143cb1a062c
1523c1554ac
hex15847f200

5776077312 has 120 divisors (see below), whose sum is σ = 16944255900. Its totient is φ = 1893703680.

The previous prime is 5776077299. The next prime is 5776077341. The reversal of 5776077312 is 2137706775.

5776077312 is a `hidden beast` number, since 5 + 7 + 7 + 607 + 7 + 31 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5773568256 + 2509056 = 75984^2 + 1584^2 .

It is a super-2 number, since 2×57760773122 = 66726138228402290688, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 270814 + ... + 291362.

Almost surely, 25776077312 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 5776077312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8472127950).

5776077312 is an abundant number, since it is smaller than the sum of its proper divisors (11168178588).

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

5776077312 is a wasteful number, since it uses less digits than its factorization.

5776077312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20634 (or 20615 counting only the distinct ones).

The product of its (nonzero) digits is 432180, while the sum is 45.

The square root of 5776077312 is about 76000.5086298769. The cubic root of 5776077312 is about 1794.2281488943.

The spelling of 5776077312 in words is "five billion, seven hundred seventy-six million, seventy-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 96 122 128 144 183 192 244 256 288 366 384 488 512 549 576 732 768 976 1098 1152 1464 1536 1952 2196 2304 2928 3904 4392 4608 5856 7808 8784 11712 15616 17568 20549 23424 31232 35136 41098 46848 61647 70272 82196 93696 123294 140544 164392 184941 246588 281088 328784 369882 493176 657568 739764 986352 1253489 1315136 1479528 1972704 2506978 2630272 2959056 3760467 3945408 5013956 5260544 5918112 7520934 7890816 10027912 10521088 11281401 11836224 15041868 15781632 20055824 22562802 23672448 30083736 31563264 40111648 45125604 47344896 60167472 80223296 90251208 94689792 120334944 160446592 180502416 240669888 320893184 361004832 481339776 641786368 722009664 962679552 1444019328 1925359104 2888038656 5776077312