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244468122248 = 23724167227027
BaseRepresentation
bin1110001110101101101…
…1111000001010001000
3212101000101220100110002
43203223123320022020
513001132314402443
6304150200142132
723443101516200
oct3435333701210
9771011810402
10244468122248
1194750977659
123b467a67948
131a08cc9664c
14bb91c5b400
15655c34e2b8
hex38eb6f8288

244468122248 has 96 divisors (see below), whose sum is σ = 554375132640. Its totient is φ = 100690571520.

The previous prime is 244468122233. The next prime is 244468122259. The reversal of 244468122248 is 842221864442.

244468122248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 963311 + ... + 1190337.

It is an arithmetic number, because the mean of its divisors is an integer number (5774740965).

Almost surely, 2244468122248 is an apocalyptic number.

244468122248 is a gapful number since it is divisible by the number (28) 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 244468122248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277187566320).

244468122248 is an abundant number, since it is smaller than the sum of its proper divisors (309907010392).

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

244468122248 is a wasteful number, since it uses less digits than its factorization.

244468122248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227155 (or 227144 counting only the distinct ones).

The product of its digits is 1572864, while the sum is 47.

The spelling of 244468122248 in words is "two hundred forty-four billion, four hundred sixty-eight million, one hundred twenty-two thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 28 41 49 56 67 82 98 134 164 196 268 287 328 392 469 536 574 938 1148 1876 2009 2296 2747 3283 3752 4018 5494 6566 8036 10988 13132 16072 19229 21976 26264 38458 76916 134603 153832 227027 269206 454054 538412 908108 1076824 1589189 1816216 3178378 6356756 9308107 11124323 12713512 15210809 18616214 22248646 30421618 37232428 44497292 60843236 65156749 74464856 88994584 106475663 121686472 130313498 212951326 260626996 425902652 456097243 521253992 623643169 745329641 851805304 912194486 1247286338 1490659282 1824388972 2494572676 2981318564 3648777944 4365502183 4989145352 5962637128 8731004366 17462008732 30558515281 34924017464 61117030562 122234061124 244468122248