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55556671729968 = 24327271823291107
BaseRepresentation
bin11001010000111010010111…
…01011101111000100110000
321021201011110222100021101100
430220131023223233010300
524240220030430324333
6314054214353004400
714462560055003313
oct1450351353570460
9237634428307340
1055556671729968
111677a4a7917612
126293308b53700
1324ccc82992426
14da0d58a0c97a
1566525342d213
hex32874baef130

55556671729968 has 120 divisors (see below), whose sum is σ = 155781327356928. Its totient is φ = 18483209559936.

The previous prime is 55556671729967. The next prime is 55556671730003. The reversal of 55556671729968 is 86992717665555.

55556671729968 is a `hidden beast` number, since 55 + 556 + 6 + 7 + 1 + 7 + 2 + 9 + 9 + 6 + 8 = 666.

55556671729968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×555566717299682 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (55556671729967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190700671 + ... + 190991777.

Almost surely, 255556671729968 is an apocalyptic number.

It is an amenable number.

55556671729968 is an abundant number, since it is smaller than the sum of its proper divisors (100224655626960).

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

55556671729968 is a wasteful number, since it uses less digits than its factorization.

55556671729968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293671 (or 293662 counting only the distinct ones).

The product of its digits is 8573040000, while the sum is 81.

The spelling of 55556671729968 in words is "fifty-five trillion, five hundred fifty-six billion, six hundred seventy-one million, seven hundred twenty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 727 1454 1823 2181 2908 3646 4362 5469 5816 6543 7292 8724 10938 11632 13086 14584 16407 17448 21876 26172 29168 32814 34896 43752 52344 65628 87504 104688 131256 262512 291107 582214 873321 1164428 1325321 1746642 2328856 2619963 2650642 3493284 3975963 4657712 5239926 5301284 6986568 7951926 10479852 10602568 11927889 13973136 15903852 20959704 21205136 23855778 31807704 41919408 47711556 63615408 95423112 190846224 211634789 423269578 530688061 634904367 846539156 1061376122 1269808734 1592064183 1693078312 1904713101 2122752244 2539617468 3184128366 3386156624 3809426202 4245504488 4776192549 5079234936 6368256732 7618852404 8491008976 9552385098 10158469872 12736513464 15237704808 19104770196 25473026928 30475409616 38209540392 76419080784 385810220347 771620440694 1157430661041 1543240881388 2314861322082 3086481762776 3472291983123 4629722644164 6172963525552 6944583966246 9259445288328 13889167932492 18518890576656 27778335864984 55556671729968