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11684403680 = 255631115733
BaseRepresentation
bin10101110000111000…
…11101100111100000
31010011022021012120212
422320130131213200
5142412201404210
65211233153252
7562356535565
oct127034354740
933138235525
1011684403680
114a565a5474
1223210bb828
131142965b41
147cbb4886c
15485bd0805
hex2b871d9e0

11684403680 has 48 divisors (see below), whose sum is σ = 27648389664. Its totient is φ = 4666314240.

The previous prime is 11684403649. The next prime is 11684403697. The reversal of 11684403680 is 8630448611.

11684403680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent 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 7 ways as a sum of consecutive naturals, for example, 43094 + ... + 158826.

It is an arithmetic number, because the mean of its divisors is an integer number (576008118).

Almost surely, 211684403680 is an apocalyptic number.

11684403680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11684403680 is an abundant number, since it is smaller than the sum of its proper divisors (15963985984).

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

11684403680 is a wasteful number, since it uses less digits than its factorization.

11684403680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116379 (or 116371 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 41.

The spelling of 11684403680 in words is "eleven billion, six hundred eighty-four million, four hundred three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 631 1262 2524 3155 5048 6310 10096 12620 20192 25240 50480 100960 115733 231466 462932 578665 925864 1157330 1851728 2314660 3703456 4629320 9258640 18517280 73027523 146055046 292110092 365137615 584220184 730275230 1168440368 1460550460 2336880736 2921100920 5842201840 11684403680