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6864170208 = 253710879397
BaseRepresentation
bin1100110010010001…
…01110110011100000
3122201101010222100020
412121020232303200
5103024211421313
63053042553440
7332046325020
oct63110566340
918641128306
106864170208
112a02710745
1213b6968880
13855128a9c
144918bda80
152a2938323
hex19922ece0

6864170208 has 96 divisors (see below), whose sum is σ = 20613648384. Its totient is φ = 1959178752.

The previous prime is 6864170207. The next prime is 6864170227. The reversal of 6864170208 is 8020714686.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 6864170208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6864170207) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 725766 + ... + 735162.

It is an arithmetic number, because the mean of its divisors is an integer number (214725504).

Almost surely, 26864170208 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 6864170208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10306824192).

6864170208 is an abundant number, since it is smaller than the sum of its proper divisors (13749478176).

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

6864170208 is a wasteful number, since it uses less digits than its factorization.

6864170208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10504 (or 10496 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 6864170208 is about 82850.2879174237. The cubic root of 6864170208 is about 1900.4772769593.

The spelling of 6864170208 in words is "six billion, eight hundred sixty-four million, one hundred seventy thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1087 2174 3261 4348 6522 7609 8696 9397 13044 15218 17392 18794 22827 26088 28191 30436 34784 37588 45654 52176 56382 60872 65779 75176 91308 104352 112764 121744 131558 150352 182616 197337 225528 243488 263116 300704 365232 394674 451056 526232 730464 789348 902112 1052464 1578696 2104928 3157392 6314784 10214539 20429078 30643617 40858156 61287234 71501773 81716312 122574468 143003546 163432624 214505319 245148936 286007092 326865248 429010638 490297872 572014184 858021276 980595744 1144028368 1716042552 2288056736 3432085104 6864170208