Search a number
-
+
25272381840 = 2435197178059
BaseRepresentation
bin10111100010010110…
…011111000110010000
32102020021110000110020
4113202112133012100
5403224212204330
615335430503440
71553162462346
oct274226370620
972207400406
1025272381840
11a799667592
124a93804b80
1324c9ab44c4
14131a60b996
159cda78210
hex5e259f190

25272381840 has 160 divisors (see below), whose sum is σ = 83630361600. Its totient is φ = 6294597120.

The previous prime is 25272381811. The next prime is 25272381851. The reversal of 25272381840 is 4818327252.

It is a junction number, because it is equal to n+sod(n) for n = 25272381792 and 25272381801.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 284731 + ... + 362789.

It is an arithmetic number, because the mean of its divisors is an integer number (522689760).

Almost surely, 225272381840 is an apocalyptic number.

25272381840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25272381840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41815180800).

25272381840 is an abundant number, since it is smaller than the sum of its proper divisors (58357979760).

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

25272381840 is a wasteful number, since it uses less digits than its factorization.

25272381840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78165 (or 78159 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 25272381840 in words is "twenty-five billion, two hundred seventy-two million, three hundred eighty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 71 76 80 95 114 120 142 152 190 213 228 240 284 285 304 355 380 426 456 568 570 710 760 852 912 1065 1136 1140 1349 1420 1520 1704 2130 2280 2698 2840 3408 4047 4260 4560 5396 5680 6745 8094 8520 10792 13490 16188 17040 20235 21584 26980 32376 40470 53960 64752 78059 80940 107920 156118 161880 234177 312236 323760 390295 468354 624472 780590 936708 1170885 1248944 1483121 1561180 1873416 2341770 2966242 3122360 3746832 4449363 4683540 5542189 5932484 6244720 7415605 8898726 9367080 11084378 11864968 14831210 16626567 17797452 18734160 22168756 22246815 23729936 27710945 29662420 33253134 35594904 44337512 44493630 55421890 59324840 66506268 71189808 83132835 88675024 88987260 105301591 110843780 118649680 133012536 166265670 177974520 210603182 221687560 266025072 315904773 332531340 355949040 421206364 443375120 526507955 631809546 665062680 842412728 1053015910 1263619092 1330125360 1579523865 1684825456 2106031820 2527238184 3159047730 4212063640 5054476368 6318095460 8424127280 12636190920 25272381840