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801408080368 = 24729383644227
BaseRepresentation
bin10111010100101111010…
…01001101100111110000
32211121120111200122010101
423222113221031213300
5101112240432032433
61412054540242144
7111620432200420
oct13522751154760
92747514618111
10801408080368
11289969a72385
1210b399b40354
135a7598c701c
142ab0737c480
1515ca6c3107d
hexba97a4d9f0

801408080368 has 80 divisors (see below), whose sum is σ = 1840533626880. Its totient is φ = 330750782208.

The previous prime is 801408080359. The next prime is 801408080387. The reversal of 801408080368 is 863080804108.

It is a super-2 number, since 2×8014080803682 (a number of 25 digits) contains 22 as substring.

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, 921871 + ... + 1566097.

It is an arithmetic number, because the mean of its divisors is an integer number (23006670336).

Almost surely, 2801408080368 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 801408080368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920266813440).

801408080368 is an abundant number, since it is smaller than the sum of its proper divisors (1039125546512).

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

801408080368 is a wasteful number, since it uses less digits than its factorization.

801408080368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644654 (or 644648 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 46.

The spelling of 801408080368 in words is "eight hundred one billion, four hundred eight million, eighty thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 203 232 383 406 464 766 812 1532 1624 2681 3064 3248 5362 6128 10724 11107 21448 22214 42896 44428 77749 88856 155498 177712 310996 621992 644227 1243984 1288454 2576908 4509589 5153816 9019178 10307632 18038356 18682583 36076712 37365166 72153424 74730332 130778081 149460664 246738941 261556162 298921328 493477882 523112324 986955764 1046224648 1727172587 1973911528 2092449296 3454345174 3947823056 6908690348 7155429289 13817380696 14310858578 27634761392 28621717156 50088005023 57243434312 100176010046 114486868624 200352020092 400704040184 801408080368