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448713317844 = 223311377704813
BaseRepresentation
bin1101000011110010110…
…01011101110111010100
31120220012121021022112000
412201321121131313110
524322431102132334
6542045215355300
744263351161561
oct6417131356724
91526177238460
10448713317844
11163330a74070
1272b69222b30
133340c956b7c
1417a09a7b868
15ba1332e299
hex687965ddd4

448713317844 has 48 divisors (see below), whose sum is σ = 1269088175040. Its totient is φ = 135973732320.

The previous prime is 448713317839. The next prime is 448713317861.

It is a happy number.

448713317844 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4487133178442 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188851219 + ... + 188853594.

It is an arithmetic number, because the mean of its divisors is an integer number (26439336980).

Almost surely, 2448713317844 is an apocalyptic number.

448713317844 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

448713317844 is an abundant number, since it is smaller than the sum of its proper divisors (820374857196).

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

448713317844 is a wasteful number, since it uses less digits than its factorization.

448713317844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377704837 (or 377704829 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 54.

It can be divided in two parts, 4487 and 13317844, that added together give a palindrome (13322331).

The spelling of 448713317844 in words is "four hundred forty-eight billion, seven hundred thirteen million, three hundred seventeen thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 377704813 755409626 1133114439 1510819252 2266228878 3399343317 4154752943 4532457756 6798686634 8309505886 10198029951 12464258829 13597373268 16619011772 20396059902 24928517658 37392776487 40792119804 49857035316 74785552974 112178329461 149571105948 224356658922 448713317844