Search a number
-
+
556029422280 = 23325472699197
BaseRepresentation
bin10000001011101011110…
…11111010101011001000
31222011012122110021022200
420011311323322223020
533102222013003110
61103234132120200
755112633051613
oct10056573725310
91864178407280
10556029422280
111a48a1127772
128b919166060
13405830b8597
141ccaa62117a
15e6e49c36c0
hex8175efaac8

556029422280 has 144 divisors (see below), whose sum is σ = 1846365166620. Its totient is φ = 145119528192.

The previous prime is 556029422257. The next prime is 556029422297. The reversal of 556029422280 is 82224920655.

It is a happy number.

556029422280 is a `hidden beast` number, since 5 + 5 + 60 + 294 + 22 + 280 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 537168794724 + 18860627556 = 732918^2 + 137334^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 445642 + ... + 1144838.

Almost surely, 2556029422280 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 556029422280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923182583310).

556029422280 is an abundant number, since it is smaller than the sum of its proper divisors (1290335744340).

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

556029422280 is a wasteful number, since it uses less digits than its factorization.

556029422280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699308 (or 699254 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 556029422280 in words is "five hundred fifty-six billion, twenty-nine million, four hundred twenty-two thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 47 60 72 90 94 120 141 180 188 235 282 360 376 423 470 564 705 846 940 1128 1410 1692 1880 2115 2209 2820 3384 4230 4418 5640 6627 8460 8836 11045 13254 16920 17672 19881 22090 26508 33135 39762 44180 53016 66270 79524 88360 99405 132540 159048 198810 265080 397620 699197 795240 1398394 2097591 2796788 3495985 4195182 5593576 6292773 6991970 8390364 10487955 12585546 13983940 16780728 20975910 25171092 27967880 31463865 32862259 41951820 50342184 62927730 65724518 83903640 98586777 125855460 131449036 164311295 197173554 251710920 262898072 295760331 328622590 394347108 492933885 591520662 657245180 788694216 985867770 1183041324 1314490360 1478801655 1544526173 1971735540 2366082648 2957603310 3089052346 3943471080 4633578519 5915206620 6178104692 7722630865 9267157038 11830413240 12356209384 13900735557 15445261730 18534314076 23167892595 27801471114 30890523460 37068628152 46335785190 55602942228 61781046920 69503677785 92671570380 111205884456 139007355570 185343140760 278014711140 556029422280