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801104383840 = 25513159364453
BaseRepresentation
bin10111010100001011000…
…10101100111101100000
32211120210100020020210211
423222011202230331200
5101111130210240330
61412004451103504
7111610053623665
oct13520542547540
92746710206724
10801104383840
112898235a3712
1210b3142a1b94
135a70ba03837
142aab8cc5a6c
1515c8a241d2a
hexba858acf60

801104383840 has 96 divisors (see below), whose sum is σ = 1910302089696. Its totient is φ = 317454458880.

The previous prime is 801104383819. The next prime is 801104383841. The reversal of 801104383840 is 48383401108.

It is a super-4 number, since 4×8011043838404 (a number of 49 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 801104383793 and 801104383802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (801104383841) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 12397054 + ... + 12461506.

It is an arithmetic number, because the mean of its divisors is an integer number (19898980101).

Almost surely, 2801104383840 is an apocalyptic number.

801104383840 is a gapful number since it is divisible by the number (80) 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 801104383840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955151044848).

801104383840 is an abundant number, since it is smaller than the sum of its proper divisors (1109197705856).

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

801104383840 is a wasteful number, since it uses less digits than its factorization.

801104383840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65192 (or 65184 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

Adding to 801104383840 its reverse (48383401108), we get a palindrome (849487784948).

The spelling of 801104383840 in words is "eight hundred one billion, one hundred four million, three hundred eighty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 131 160 262 524 593 655 1048 1186 1310 2096 2372 2620 2965 4192 4744 5240 5930 9488 10480 11860 18976 20960 23720 47440 64453 77683 94880 128906 155366 257812 310732 322265 388415 515624 621464 644530 776830 1031248 1242928 1289060 1553660 2062496 2485856 2578120 3107320 5156240 6214640 8443343 10312480 12429280 16886686 33773372 38220629 42216715 67546744 76441258 84433430 135093488 152882516 168866860 191103145 270186976 305765032 337733720 382206290 611530064 675467440 764412580 1223060128 1350934880 1528825160 3057650320 5006902399 6115300640 10013804798 20027609596 25034511995 40055219192 50069023990 80110438384 100138047980 160220876768 200276095960 400552191920 801104383840