Search a number
-
+
57411803540 = 22572137575953
BaseRepresentation
bin110101011110000000…
…101001100110010100
312111012010102210200002
4311132000221212110
51420034410203130
642212530110432
74101501164300
oct653600514624
9174163383602
1057411803540
1122391514823
12b16311b418
13554c48a9b0
142ac8c44d00
151760404b45
hexd5e029994

57411803540 has 144 divisors (see below), whose sum is σ = 151262132112. Its totient is φ = 18142838784.

The previous prime is 57411803513. The next prime is 57411803563. The reversal of 57411803540 is 4530811475.

It can be written as a sum of positive squares in 8 ways, for example, as 15872472196 + 41539331344 = 125986^2 + 203812^2 .

It is a super-2 number, since 2×574118035402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 57411803494 and 57411803503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9641204 + ... + 9647156.

It is an arithmetic number, because the mean of its divisors is an integer number (1050431473).

Almost surely, 257411803540 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 57411803540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75631066056).

57411803540 is an abundant number, since it is smaller than the sum of its proper divisors (93850328572).

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

57411803540 is a wasteful number, since it uses less digits than its factorization.

57411803540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6746 (or 6737 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 38.

The spelling of 57411803540 in words is "fifty-seven billion, four hundred eleven million, eight hundred three thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 182 196 245 260 364 455 490 637 757 910 980 1274 1514 1820 2548 3028 3185 3785 5299 5953 6370 7570 9841 10598 11906 12740 15140 19682 21196 23812 26495 29765 37093 39364 41671 49205 52990 59530 68887 74186 77389 83342 98410 105980 119060 137774 148372 154778 166684 185465 196820 208355 275548 291697 309556 344435 370930 386945 416710 482209 541723 583394 688870 741860 773890 833420 964418 1083446 1166788 1377740 1458485 1547780 1928836 2166892 2411045 2708615 2916970 3792061 4506421 4822090 5417230 5833940 7584122 9012842 9644180 10834460 15168244 18025684 18960305 22532105 31544947 37920610 45064210 58583473 63089894 75841220 90128420 117166946 126179788 157724735 220814629 234333892 292917365 315449470 410084311 441629258 585834730 630898940 820168622 883258516 1104073145 1171669460 1640337244 2050421555 2208146290 2870590177 4100843110 4416292580 5741180354 8201686220 11482360708 14352950885 28705901770 57411803540