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6686834688 = 216333779
BaseRepresentation
bin1100011101001000…
…10000000000000000
3122021000110101202000
412032210100000000
5102143312202223
63023310024000
7324464104602
oct61644200000
918230411660
106686834688
1129215a8966
1213674a8000
13827478921
1447611b172
152920a9543
hex18e910000

6686834688 has 136 divisors (see below), whose sum is σ = 19817935200. Its totient is φ = 2228355072.

The previous prime is 6686834681. The next prime is 6686834717. The reversal of 6686834688 is 8864386866.

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

It is not an unprimeable number, because it can be changed into a prime (6686834681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1767583 + ... + 1771361.

Almost surely, 26686834688 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 6686834688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9908967600).

6686834688 is an abundant number, since it is smaller than the sum of its proper divisors (13131100512).

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

6686834688 is an frugal number, since it uses more digits than its factorization.

6686834688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3820 (or 3784 counting only the distinct ones).

The product of its digits is 63700992, while the sum is 63.

The square root of 6686834688 is about 81773.0682315394. The cubic root of 6686834688 is about 1883.9680306150.

The spelling of 6686834688 in words is "six billion, six hundred eighty-six million, eight hundred thirty-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 3072 3456 3779 4096 4608 6144 6912 7558 8192 9216 11337 12288 13824 15116 16384 18432 22674 24576 27648 30232 32768 34011 36864 45348 49152 55296 60464 65536 68022 73728 90696 98304 102033 110592 120928 136044 147456 181392 196608 204066 221184 241856 272088 294912 362784 408132 442368 483712 544176 589824 725568 816264 884736 967424 1088352 1451136 1632528 1769472 1934848 2176704 2902272 3265056 3869696 4353408 5804544 6530112 7739392 8706816 11609088 13060224 15478784 17413632 23218176 26120448 30957568 34827264 46436352 52240896 61915136 69654528 92872704 104481792 123830272 139309056 185745408 208963584 247660544 278618112 371490816 417927168 557236224 742981632 835854336 1114472448 1671708672 2228944896 3343417344 6686834688