Search a number
-
+
41662455560 = 235111710155147
BaseRepresentation
bin100110110011010001…
…101001111100001000
310222112112021000210122
4212303101221330020
51140311042034220
631050043002412
73003302013005
oct466321517410
9128475230718
1041662455560
111673a408560
1280a8809408
133c0c614b8b
1420332bc8ac
15113c921425
hex9b3469f08

41662455560 has 128 divisors (see below), whose sum is σ = 109351866240. Its totient is φ = 14117376000.

The previous prime is 41662455529. The next prime is 41662455587. The reversal of 41662455560 is 6555426614.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 727907 + ... + 783053.

It is an arithmetic number, because the mean of its divisors is an integer number (854311455).

Almost surely, 241662455560 is an apocalyptic number.

41662455560 is a gapful number since it is divisible by the number (40) 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 41662455560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54675933120).

41662455560 is an abundant number, since it is smaller than the sum of its proper divisors (67689410680).

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

41662455560 is a wasteful number, since it uses less digits than its factorization.

41662455560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55287 (or 55283 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 44.

The spelling of 41662455560 in words is "forty-one billion, six hundred sixty-two million, four hundred fifty-five thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 101 110 136 170 187 202 220 340 374 404 440 505 680 748 808 935 1010 1111 1496 1717 1870 2020 2222 3434 3740 4040 4444 5555 6868 7480 8585 8888 11110 13736 17170 18887 22220 34340 37774 44440 55147 68680 75548 94435 110294 151096 188870 220588 275735 377740 441176 551470 606617 755480 937499 1102940 1213234 1874998 2205880 2426468 3033085 3749996 4687495 4852936 5569847 6066170 7499992 9374990 10312489 11139694 12132340 18749980 20624978 22279388 24264680 27849235 37499960 41249956 44558776 51562445 55698470 61268317 82499912 94687399 103124890 111396940 122536634 189374798 206249780 222793880 245073268 306341585 378749596 412499560 473436995 490146536 612683170 757499192 946873990 1041561389 1225366340 1893747980 2083122778 2450732680 3787495960 4166245556 5207806945 8332491112 10415613890 20831227780 41662455560