Search a number
-
+
2450555225010 = 2345191091145949
BaseRepresentation
bin100011101010010000011…
…110010100001110110010
322200021022101222202010000
4203222100132110032302
5310122214114200020
65113434115050430
7342022020504444
oct43522036241662
98607271882100
102450555225010
118653025a1a82
12336b25ba0a16
1314a117991c29
1486870dd2494
1543b27d92090
hex23a907943b2

2450555225010 has 160 divisors (see below), whose sum is σ = 6942479544000. Its totient is φ = 618515948160.

The previous prime is 2450555224963. The next prime is 2450555225021. The reversal of 2450555225010 is 105225550542.

2450555225010 is a `hidden beast` number, since 2 + 4 + 50 + 5 + 552 + 2 + 50 + 1 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16717516 + ... + 16863464.

It is an arithmetic number, because the mean of its divisors is an integer number (43390497150).

Almost surely, 22450555225010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2450555225010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3471239772000).

2450555225010 is an abundant number, since it is smaller than the sum of its proper divisors (4491924318990).

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

2450555225010 is a wasteful number, since it uses less digits than its factorization.

2450555225010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147078 (or 147069 counting only the distinct ones).

The product of its (nonzero) digits is 100000, while the sum is 36.

The spelling of 2450555225010 in words is "two trillion, four hundred fifty billion, five hundred fifty-five million, two hundred twenty-five thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 81 90 95 114 135 162 171 190 270 285 342 405 513 570 810 855 1026 1091 1539 1710 2182 2565 3078 3273 5130 5455 6546 7695 9819 10910 15390 16365 19638 20729 29457 32730 41458 49095 58914 62187 88371 98190 103645 124374 145949 147285 176742 186561 207290 291898 294570 310935 373122 437847 441855 559683 621870 729745 875694 883710 932805 1119366 1313541 1459490 1679049 1865610 2189235 2627082 2773031 2798415 3358098 3940623 4378470 5546062 5596830 6567705 7881246 8319093 8395245 11821869 13135410 13865155 16638186 16790490 19703115 23643738 24957279 27730310 39406230 41595465 49914558 59109345 74871837 83190930 118218690 124786395 149743674 159230359 224615511 249572790 318460718 374359185 449231022 477691077 748718370 796151795 955382154 1123077555 1433073231 1592303590 2246155110 2388455385 2866146462 3025376821 4299219693 4776910770 6050753642 7165366155 8598439386 9076130463 12897659079 14330732310 15126884105 18152260926 21496098465 25795318158 27228391389 30253768210 42992196930 45380652315 54456782778 64488295395 81685174167 90761304630 128976590790 136141956945 163370348334 245055522501 272283913890 408425870835 490111045002 816851741670 1225277612505 2450555225010