Search a number
-
+
448286808880 = 24561215342667
BaseRepresentation
bin1101000010111111111…
…10011101101100110000
31120212002212201102012201
412201133332131230300
524321042410341010
6541535022032544
744246652001321
oct6413776355460
91525085642181
10448286808880
11163132242619
1272a6a418754
13333724935c1
14179a9176448
15b9dab8123a
hex685ff9db30

448286808880 has 80 divisors (see below), whose sum is σ = 1059870047904. Its totient is φ = 176289085440.

The previous prime is 448286808877. The next prime is 448286808899. The reversal of 448286808880 is 88808682844.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×4482868088802 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10485307 + ... + 10527973.

Almost surely, 2448286808880 is an apocalyptic number.

448286808880 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 448286808880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529935023952).

448286808880 is an abundant number, since it is smaller than the sum of its proper divisors (611583239024).

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

448286808880 is a wasteful number, since it uses less digits than its factorization.

448286808880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44894 (or 44888 counting only the distinct ones).

The product of its (nonzero) digits is 50331648, while the sum is 64.

The spelling of 448286808880 in words is "four hundred forty-eight billion, two hundred eighty-six million, eight hundred eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1220 2153 2440 4306 4880 8612 10765 17224 21530 34448 42667 43060 85334 86120 131333 170668 172240 213335 262666 341336 426670 525332 656665 682672 853340 1050664 1313330 1706680 2101328 2602687 2626660 3413360 5205374 5253320 10410748 10506640 13013435 20821496 26026870 41642992 52053740 91862051 104107480 183724102 208214960 367448204 459310255 734896408 918620510 1469792816 1837241020 3674482040 5603585111 7348964080 11207170222 22414340444 28017925555 44828680888 56035851110 89657361776 112071702220 224143404440 448286808880