Search a number
-
+
55000331283120 = 24352344472240573
BaseRepresentation
bin11001000000101110000110…
…01101010110101010110000
321012201222110122122022120020
430200113003031112222300
524202111134302024440
6312550445310243440
714404433324144256
oct1440270315265260
9235658418568506
1055000331283120
1116585567176553
1262035237b6580
13248c680319052
14d8205cd885d6
15655a414be3d0
hex3205c3356ab0

55000331283120 has 160 divisors (see below), whose sum is σ = 177954202202112. Its totient is φ = 14025909021696.

The previous prime is 55000331283089. The next prime is 55000331283127. The reversal of 55000331283120 is 2138213300055.

It is not an unprimeable number, because it can be changed into a prime (55000331283127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23427154 + ... + 25667726.

Almost surely, 255000331283120 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 55000331283120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88977101101056).

55000331283120 is an abundant number, since it is smaller than the sum of its proper divisors (122953870918992).

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

55000331283120 is a wasteful number, since it uses less digits than its factorization.

55000331283120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2245059 (or 2245053 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

Adding to 55000331283120 its reverse (2138213300055), we get a palindrome (57138544583175).

The spelling of 55000331283120 in words is "fifty-five trillion, three hundred thirty-one million, two hundred eighty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2760 4447 5520 8894 13341 17788 22235 26682 35576 44470 53364 66705 71152 88940 102281 106728 133410 177880 204562 213456 266820 306843 355760 409124 511405 533640 613686 818248 1022810 1067280 1227372 1534215 1636496 2045620 2240573 2454744 3068430 4091240 4481146 4909488 6136860 6721719 8182480 8962292 11202865 12273720 13443438 17924584 22405730 24547440 26886876 33608595 35849168 44811460 51533179 53773752 67217190 89622920 103066358 107547504 134434380 154599537 179245840 206132716 257665895 268868760 309199074 412265432 515331790 537737520 618398148 772997685 824530864 1030663580 1236796296 1545995370 2061327160 2473592592 3091990740 4122654320 6183981480 9963828131 12367962960 19927656262 29891484393 39855312524 49819140655 59782968786 79710625048 99638281310 119565937572 149457421965 159421250096 199276562620 229168047013 239131875144 298914843930 398553125240 458336094026 478263750288 597829687860 687504141039 797106250480 916672188052 1145840235065 1195659375720 1375008282078 1833344376104 2291680470130 2391318751440 2750016564156 3437520705195 3666688752208 4583360940260 5500033128312 6875041410390 9166721880520 11000066256624 13750082820780 18333443761040 27500165641560 55000331283120