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82438243468 = 22725334922739
BaseRepresentation
bin100110011000110110…
…0111100010010001100
321212210021002200020121
41030301230330102030
52322313142242333
6101512133354324
75645616336100
oct1146154742214
9255707080217
1082438243468
1131a6426a529
1213b884989a4
137a0a320929
143dc0911900
15222759b32d
hex1331b3c48c

82438243468 has 72 divisors (see below), whose sum is σ = 171484614000. Its totient is φ = 34563215232.

The previous prime is 82438243457. The next prime is 82438243493. The reversal of 82438243468 is 86434283428.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 3614043 + ... + 3636781.

It is an arithmetic number, because the mean of its divisors is an integer number (2381730750).

Almost surely, 282438243468 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 82438243468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85742307000).

82438243468 is an abundant number, since it is smaller than the sum of its proper divisors (89046370532).

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

82438243468 is a wasteful number, since it uses less digits than its factorization.

82438243468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23159 (or 23150 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 52.

The spelling of 82438243468 in words is "eighty-two billion, four hundred thirty-eight million, two hundred forty-three thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 14 28 49 53 98 106 196 212 349 371 698 742 1396 1484 2443 2597 4886 5194 9772 10388 17101 18497 22739 34202 36994 45478 68404 73988 90956 129479 159173 258958 318346 517916 636692 906353 1114211 1205167 1812706 2228422 2410334 3625412 4456844 4820668 7935911 8436169 15871822 16872338 31743644 33744676 55551377 59053183 111102754 118106366 222205508 236212732 388859639 420603283 777719278 841206566 1555438556 1682413132 2944222981 5888445962 11776891924 20609560867 41219121734 82438243468