Search a number
-
+
41808669700 = 22527193898081
BaseRepresentation
bin100110111011111111…
…011010110000000100
310222220201101110220011
4212323333122300010
51141111004412300
631112344520004
73010025554210
oct467377326004
9128821343804
1041808669700
11168049a4396
128129780004
133c339b9815
14204889d940
15114a6a3eba
hex9bbfdac04

41808669700 has 144 divisors (see below), whose sum is σ = 109436745600. Its totient is φ = 13543372800.

The previous prime is 41808669697. The next prime is 41808669709. The reversal of 41808669700 is 796680814.

It is not an unprimeable number, because it can be changed into a prime (41808669709) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5169660 + ... + 5177740.

It is an arithmetic number, because the mean of its divisors is an integer number (759977400).

Almost surely, 241808669700 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 41808669700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54718372800).

41808669700 is an abundant number, since it is smaller than the sum of its proper divisors (67628075900).

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

41808669700 is a wasteful number, since it uses less digits than its factorization.

41808669700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8510 (or 8503 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 49.

The spelling of 41808669700 in words is "forty-one billion, eight hundred eight million, six hundred sixty-nine thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 70 76 95 100 133 140 175 190 266 350 380 389 475 532 665 700 778 950 1330 1556 1900 1945 2660 2723 3325 3890 5446 6650 7391 7780 8081 9725 10892 13300 13615 14782 16162 19450 27230 29564 32324 36955 38900 40405 51737 54460 56567 68075 73910 80810 103474 113134 136150 147820 153539 161620 184775 202025 206948 226268 258685 272300 282835 307078 369550 404050 517370 565670 614156 739100 767695 808100 1034740 1074773 1131340 1293425 1414175 1535390 2149546 2586850 2828350 3070780 3143509 3838475 4299092 5173700 5373865 5656700 6287018 7676950 10747730 12574036 15353900 15717545 21495460 22004563 26869325 31435090 44009126 53738650 59726671 62870180 78587725 88018252 107477300 110022815 119453342 157175450 220045630 238906684 298633355 314350900 418086697 440091260 550114075 597266710 836173394 1100228150 1194533420 1493166775 1672346788 2090433485 2200456300 2986333550 4180866970 5972667100 8361733940 10452167425 20904334850 41808669700