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55760888064 = 283780912821
BaseRepresentation
bin110011111011100110…
…111010000100000000
312022221001221121101110
4303323212322010000
51403144241404224
641341033203320
74012543504530
oct637346720400
9168831847343
1055760888064
1121714627572
12a982260540
135348438c2b
1429ad8994c0
1516b54e9929
hexcfb9ba100

55760888064 has 144 divisors (see below), whose sum is σ = 169828928640. Its totient is φ = 15910748160.

The previous prime is 55760888033. The next prime is 55760888111. The reversal of 55760888064 is 46088806755.

It is a happy number.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 55760887995 and 55760888013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4342774 + ... + 4355594.

It is an arithmetic number, because the mean of its divisors is an integer number (1179367560).

Almost surely, 255760888064 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 55760888064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84914464320).

55760888064 is an abundant number, since it is smaller than the sum of its proper divisors (114068040576).

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

55760888064 is a wasteful number, since it uses less digits than its factorization.

55760888064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13656 (or 13642 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 57.

The spelling of 55760888064 in words is "fifty-five billion, seven hundred sixty million, eight hundred eighty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 809 896 1344 1618 1792 2427 2688 3236 4854 5376 5663 6472 9708 11326 12821 12944 16989 19416 22652 25642 25888 33978 38463 38832 45304 51284 51776 67956 76926 77664 89747 90608 102568 103552 135912 153852 155328 179494 181216 205136 207104 269241 271824 307704 310656 358988 362432 410272 538482 543648 615408 621312 717976 724864 820544 1076964 1087296 1230816 1435952 1449728 1641088 2153928 2174592 2461632 2871904 3282176 4307856 4349184 4923264 5743808 8615712 9846528 10372189 11487616 17231424 20744378 22975232 31116567 34462848 41488756 62233134 68925696 72605323 82977512 124466268 145210646 165955024 217815969 248932536 290421292 331910048 435631938 497865072 580842584 663820096 871263876 995730144 1161685168 1327640192 1742527752 1991460288 2323370336 2655280384 3485055504 3982920576 4646740672 6970111008 7965841152 9293481344 13940222016 18586962688 27880444032 55760888064