Search a number
-
+
57265945860 = 22354739675119
BaseRepresentation
bin110101010101010100…
…001111110100000100
312110210221222110112210
4311111110033310010
51414240040231420
642150235543420
74065050336244
oct652524176404
9173727873483
1057265945860
1122317151792
12b1222bab70
1355281ac386
142ab3717b24
1517526e29e0
hexd5550fd04

57265945860 has 96 divisors (see below), whose sum is σ = 163829514240. Its totient is φ = 14939319168.

The previous prime is 57265945853. The next prime is 57265945931. The reversal of 57265945860 is 6854956275.

It is a super-2 number, since 2×572659458602 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 57265945860.

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, 11184381 + ... + 11189499.

It is an arithmetic number, because the mean of its divisors is an integer number (1706557440).

Almost surely, 257265945860 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 57265945860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81914757120).

57265945860 is an abundant number, since it is smaller than the sum of its proper divisors (106563568380).

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

57265945860 is a wasteful number, since it uses less digits than its factorization.

57265945860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9145 (or 9143 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 57.

The spelling of 57265945860 in words is "fifty-seven billion, two hundred sixty-five million, nine hundred forty-five thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 940 1410 2820 3967 5119 7934 10238 11901 15357 15868 19835 20476 23802 25595 30714 39670 47604 51190 59505 61428 76785 79340 102380 119010 153570 186449 238020 240593 307140 372898 481186 559347 721779 745796 932245 962372 1118694 1202965 1443558 1864490 2237388 2405930 2796735 2887116 3608895 3728980 4811860 5593470 7217790 11186940 14435580 20307073 40614146 60921219 81228292 101535365 121842438 203070730 243684876 304606095 406141460 609212190 954432431 1218424380 1908864862 2863297293 3817729724 4772162155 5726594586 9544324310 11453189172 14316486465 19088648620 28632972930 57265945860