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6680124307168 = 2513181227390829
BaseRepresentation
bin110000100110101011001…
…1011111011011011100000
3212122121120100102010202121
41201031112123323123200
51333421343310312133
622112450131154024
71256423464511314
oct141152633733340
925577510363677
106680124307168
112146030025924
128ba7a0145914
13395c18ac6640
14191469529b44
15b8b7317b02d
hex613566fb6e0

6680124307168 has 96 divisors (see below), whose sum is σ = 14304171641760. Its totient is φ = 3052585543680.

The previous prime is 6680124307159. The next prime is 6680124307193. The reversal of 6680124307168 is 8617034210866.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16896778 + ... + 17287606.

It is an arithmetic number, because the mean of its divisors is an integer number (149001787935).

Almost surely, 26680124307168 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 6680124307168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7152085820880).

6680124307168 is an abundant number, since it is smaller than the sum of its proper divisors (7624047334592).

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

6680124307168 is a wasteful number, since it uses less digits than its factorization.

6680124307168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391260 (or 391252 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 52.

It can be divided in two parts, 66801 and 24307168, that added together give a square (24373969 = 49372).

The spelling of 6680124307168 in words is "six trillion, six hundred eighty billion, one hundred twenty-four million, three hundred seven thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 181 208 227 362 416 454 724 908 1448 1816 2353 2896 2951 3632 4706 5792 5902 7264 9412 11804 18824 23608 37648 41087 47216 75296 82174 94432 164348 328696 390829 534131 657392 781658 1068262 1314784 1563316 2136524 3126632 4273048 5080777 6253264 8546096 10161554 12506528 17092192 20323108 40646216 70740049 81292432 88718183 141480098 162584864 177436366 282960196 354872732 565920392 709745464 919620637 1131840784 1153336379 1419490928 1839241274 2263681568 2306672758 2838981856 3678482548 4613345516 7356965096 9226691032 14713930192 16057991123 18453382064 29427860384 32115982246 36906764128 64231964492 128463928984 208753884599 256927857968 417507769198 513855715936 835015538396 1670031076792 3340062153584 6680124307168