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56557222120 = 23573113149739
BaseRepresentation
bin110100101011000100…
…101011100011101000
312101222120101120100101
4310223010223203220
51411312122101440
641552041315144
74041353312260
oct645304534350
9171876346311
1056557222120
1121a93094093
12ab64a95ab4
135444407309
142a4754c7a0
15171039a69a
hexd2b12b8e8

56557222120 has 128 divisors (see below), whose sum is σ = 151273267200. Its totient is φ = 18621907200.

The previous prime is 56557222109. The next prime is 56557222129. The reversal of 56557222120 is 2122275565.

It is a self number, because there is not a number n which added to its sum of digits gives 56557222120.

It is not an unprimeable number, because it can be changed into a prime (56557222129) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1112211 + ... + 1161949.

It is an arithmetic number, because the mean of its divisors is an integer number (1181822400).

Almost surely, 256557222120 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 56557222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75636633600).

56557222120 is an abundant number, since it is smaller than the sum of its proper divisors (94716045080).

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

56557222120 is a wasteful number, since it uses less digits than its factorization.

56557222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49919 (or 49915 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 37.

Adding to 56557222120 its reverse (2122275565), we get a palindrome (58679497685).

The spelling of 56557222120 in words is "fifty-six billion, five hundred fifty-seven million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 131 140 155 217 248 262 280 310 434 524 620 655 868 917 1048 1085 1240 1310 1736 1834 2170 2620 3668 4061 4340 4585 5240 7336 8122 8680 9170 16244 18340 20305 28427 32488 36680 40610 49739 56854 81220 99478 113708 142135 162440 198956 227416 248695 284270 348173 397912 497390 568540 696346 994780 1137080 1392692 1541909 1740865 1989560 2785384 3083818 3481730 6167636 6515809 6963460 7709545 10793363 12335272 13031618 13926920 15419090 21586726 26063236 30838180 32579045 43173452 45610663 52126472 53966815 61676360 65158090 86346904 91221326 107933630 130316180 182442652 201990079 215867260 228053315 260632360 364885304 403980158 431734520 456106630 807960316 912213260 1009950395 1413930553 1615920632 1824426520 2019900790 2827861106 4039801580 5655722212 7069652765 8079603160 11311444424 14139305530 28278611060 56557222120