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55086624384 = 2731143303287
BaseRepresentation
bin110011010011011010…
…110010111010000000
312021012002012110111120
4303103122302322000
51400304133440014
641150105312240
73660045403311
oct632332627200
9167162173446
1055086624384
11213a8a66260
12a814495680
13526b83ac3c
142948100608
15167620cba9
hexcd36b2e80

55086624384 has 128 divisors (see below), whose sum is σ = 163338785280. Its totient is φ = 16304655360.

The previous prime is 55086624367. The next prime is 55086624391. The reversal of 55086624384 is 48342668055.

It is a tau number, because it is divible by the number of its divisors (128).

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, 29989 + ... + 333275.

It is an arithmetic number, because the mean of its divisors is an integer number (1276084260).

Almost surely, 255086624384 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 55086624384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81669392640).

55086624384 is an abundant number, since it is smaller than the sum of its proper divisors (108252160896).

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

55086624384 is a wasteful number, since it uses less digits than its factorization.

55086624384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303358 (or 303346 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 51.

The spelling of 55086624384 in words is "fifty-five billion, eighty-six million, six hundred twenty-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 43 44 48 64 66 86 88 96 128 129 132 172 176 192 258 264 344 352 384 473 516 528 688 704 946 1032 1056 1376 1408 1419 1892 2064 2112 2752 2838 3784 4128 4224 5504 5676 7568 8256 11352 15136 16512 22704 30272 45408 60544 90816 181632 303287 606574 909861 1213148 1819722 2426296 3336157 3639444 4852592 6672314 7278888 9705184 10008471 13041341 13344628 14557776 19410368 20016942 26082682 26689256 29115552 38820736 39124023 40033884 52165364 53378512 58231104 78248046 80067768 104330728 106757024 116462208 143454751 156496092 160135536 208661456 213514048 286909502 312992184 320271072 417322912 427028096 430364253 573819004 625984368 640542144 834645824 860728506 1147638008 1251968736 1281084288 1669291648 1721457012 2295276016 2503937472 3442914024 4590552032 5007874944 6885828048 9181104064 13771656096 18362208128 27543312192 55086624384