Search a number
-
+
2663240148 = 22354797601
BaseRepresentation
bin1001111010111101…
…1101000111010100
320212121100121200000
42132233131013110
520423242141043
61120134251300
7122666111352
oct23657350724
96777317600
102663240148
111147369818
12623ab6b30
133359b595a
141b39c47d2
15108c232d3
hex9ebdd1d4

2663240148 has 144 divisors (see below), whose sum is σ = 7215446784. Its totient is φ = 858470400.

The previous prime is 2663240147. The next prime is 2663240189. The reversal of 2663240148 is 8410423662.

2663240148 is a `hidden beast` number, since 2 + 6 + 632 + 4 + 0 + 14 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2663240147) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4431048 + ... + 4431648.

Almost surely, 22663240148 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 2663240148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3607723392).

2663240148 is an abundant number, since it is smaller than the sum of its proper divisors (4552206636).

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

2663240148 is a wasteful number, since it uses less digits than its factorization.

2663240148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2663240148 is about 51606.5901605599. The cubic root of 2663240148 is about 1386.1283402829.

The spelling of 2663240148 in words is "two billion, six hundred sixty-three million, two hundred forty thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 81 94 97 108 141 162 188 194 243 282 291 324 388 423 486 564 582 601 846 873 972 1164 1202 1269 1692 1746 1803 2404 2538 2619 3492 3606 3807 4559 5076 5238 5409 7212 7614 7857 9118 10476 10818 11421 13677 15228 15714 16227 18236 21636 22842 23571 27354 28247 31428 32454 41031 45684 47142 48681 54708 56494 58297 64908 82062 84741 94284 97362 112988 116594 123093 146043 164124 169482 174891 194724 233188 246186 254223 292086 338964 349782 369279 492372 508446 524673 584172 699564 738558 762669 1016892 1049346 1107837 1477116 1525338 1574019 2098692 2215674 2288007 2739959 3050676 3148038 4431348 4576014 4722057 5479918 6296076 6864021 8219877 9152028 9444114 10959836 13728042 14166171 16439754 18888228 24659631 27456084 28332342 32879508 49319262 56664684 73978893 98638524 147957786 221936679 295915572 443873358 665810037 887746716 1331620074 2663240148