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55056005060 = 22572613532609
BaseRepresentation
bin110011010001100101…
…111111011111000100
312021002221120211200112
4303101211333133010
51400223314130220
641143053132152
73656224215200
oct632145773704
9167087524615
1055056005060
1121392752531
12a80618a058
1352653aa0b4
14294400db00
1516736b05c5
hexcd197f7c4

55056005060 has 144 divisors (see below), whose sum is σ = 137138566320. Its totient is φ = 18507202560.

The previous prime is 55056005051. The next prime is 55056005089. The reversal of 55056005060 is 6050065055.

It can be written as a sum of positive squares in 8 ways, for example, as 9557408644 + 45498596416 = 97762^2 + 213304^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21101036 + ... + 21103644.

It is an arithmetic number, because the mean of its divisors is an integer number (952351155).

Almost surely, 255056005060 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 55056005060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68569283160).

55056005060 is an abundant number, since it is smaller than the sum of its proper divisors (82082561260).

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

55056005060 is a wasteful number, since it uses less digits than its factorization.

55056005060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3046 (or 3037 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 32.

The spelling of 55056005060 in words is "fifty-five billion, fifty-six million, five thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 61 70 98 122 140 196 244 245 305 353 427 490 610 706 854 980 1220 1412 1708 1765 2135 2471 2609 2989 3530 4270 4942 5218 5978 7060 8540 9884 10436 11956 12355 13045 14945 17297 18263 21533 24710 26090 29890 34594 36526 43066 49420 52180 59780 69188 73052 86132 86485 91315 107665 127841 150731 159149 172970 182630 215330 255682 301462 318298 345940 365260 430660 511364 602924 636596 639205 753655 795745 920977 1055117 1114043 1278410 1507310 1591490 1841954 2110234 2228086 2556820 3014620 3182980 3683908 4220468 4456172 4604885 5275585 5570215 6446839 7798301 9209770 10551170 11140430 12893678 15596602 18419540 21102340 22280860 25787356 31193204 32234195 38991505 45127873 56179597 64468390 77983010 90255746 112359194 128936780 155966020 180511492 224718388 225639365 280897985 393257179 451278730 561795970 786514358 902557460 1123591940 1573028716 1966285895 2752800253 3932571790 5505600506 7865143580 11011201012 13764001265 27528002530 55056005060