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6689838816 = 25337998011
BaseRepresentation
bin1100011101011111…
…01101011011100000
3122021020010000122000
412032233231123200
5102200044320231
63023454244000
7324531456153
oct61657553340
918236100560
106689838816
11292326aa11
1213684b6600
13827c8b10b
1447669dc9a
1529249e6e6
hex18ebed6e0

6689838816 has 96 divisors (see below), whose sum is σ = 19759219200. Its totient is φ = 2201696640.

The previous prime is 6689838797. The next prime is 6689838823. The reversal of 6689838816 is 6188389866.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 19251 + ... + 117261.

It is an arithmetic number, because the mean of its divisors is an integer number (205825200).

Almost surely, 26689838816 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 6689838816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9879609600).

6689838816 is an abundant number, since it is smaller than the sum of its proper divisors (13069380384).

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

6689838816 is a wasteful number, since it uses less digits than its factorization.

6689838816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98109 (or 98095 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 63.

The square root of 6689838816 is about 81791.4348572025. The cubic root of 6689838816 is about 1884.2501189289.

The spelling of 6689838816 in words is "six billion, six hundred eighty-nine million, eight hundred thirty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 79 96 108 144 158 216 237 288 316 432 474 632 711 864 948 1264 1422 1896 2133 2528 2844 3792 4266 5688 7584 8532 11376 17064 22752 34128 68256 98011 196022 294033 392044 588066 784088 882099 1176132 1568176 1764198 2352264 2646297 3136352 3528396 4704528 5292594 7056792 7742869 9409056 10585188 14113584 15485738 21170376 23228607 28227168 30971476 42340752 46457214 61942952 69685821 84681504 92914428 123885904 139371642 185828856 209057463 247771808 278743284 371657712 418114926 557486568 743315424 836229852 1114973136 1672459704 2229946272 3344919408 6689838816