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56055015018 = 232234713121991
BaseRepresentation
bin110100001101001000…
…111010011001101010
312100200120101210201100
4310031020322121222
51404300040440033
641430141302230
74023044523522
oct641510723152
9170616353640
1056055015018
112185565a4a2
12aa44864976
13539435b752
1429da980682
1516d1248513
hexd0d23a66a

56055015018 has 96 divisors (see below), whose sum is σ = 130423468032. Its totient is φ = 17358026400.

The previous prime is 56055015013. The next prime is 56055015019. The reversal of 56055015018 is 81051055065.

56055015018 is a `hidden beast` number, since 56 + 0 + 550 + 1 + 50 + 1 + 8 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (56055015013) 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 47 ways as a sum of consecutive naturals, for example, 2538003 + ... + 2559993.

It is an arithmetic number, because the mean of its divisors is an integer number (1358577792).

Almost surely, 256055015018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56055015018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65211734016).

56055015018 is an abundant number, since it is smaller than the sum of its proper divisors (74368453014).

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

56055015018 is a wasteful number, since it uses less digits than its factorization.

56055015018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22200 (or 22197 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 36.

The spelling of 56055015018 in words is "fifty-six billion, fifty-five million, fifteen thousand, eighteen".

Divisors: 1 2 3 6 9 18 23 46 47 69 94 131 138 141 207 262 282 393 414 423 786 846 1081 1179 2162 2358 3013 3243 6026 6157 6486 9039 9729 12314 18078 18471 19458 21991 27117 36942 43982 54234 55413 65973 110826 131946 141611 197919 283222 395838 424833 505793 849666 1011586 1033577 1274499 1517379 2067154 2548998 2880821 3034758 3100731 4552137 5761642 6201462 8642463 9104274 9302193 17284926 18604386 23772271 25927389 47544542 51854778 66258883 71316813 132517766 135398587 142633626 198776649 213950439 270797174 397553298 406195761 427900878 596329947 812391522 1192659894 1218587283 2437174566 3114167501 6228335002 9342502503 18685005006 28027507509 56055015018