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6680068068072 = 2337312083615773
BaseRepresentation
bin110000100110101001100…
…0101011001001011101000
3212122121102102120220020010
41201031103011121023220
51333421234411134242
622112440401531520
71256422212500040
oct141152305311350
925577372526203
106680068068072
112146001303633
128ba785343ba0
13395c0a265479
14191461c8a720
15b8b6d26c89c
hex613531592e8

6680068068072 has 128 divisors (see below), whose sum is σ = 19711073525760. Its totient is φ = 1846133717760.

The previous prime is 6680068068059. The next prime is 6680068068073. The reversal of 6680068068072 is 2708608600866.

It is not an unprimeable number, because it can be changed into a prime (6680068068073) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 10540378 + ... + 11156150.

It is an arithmetic number, because the mean of its divisors is an integer number (153992761920).

Almost surely, 26680068068072 is an apocalyptic number.

6680068068072 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6680068068072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9855536762880).

6680068068072 is an abundant number, since it is smaller than the sum of its proper divisors (13031005457688).

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

6680068068072 is a wasteful number, since it uses less digits than its factorization.

6680068068072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617903 (or 617899 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 57.

The spelling of 6680068068072 in words is "six trillion, six hundred eighty billion, sixty-eight million, sixty-eight thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 651 744 868 1302 1736 2083 2604 4166 5208 6249 8332 12498 14581 16664 24996 29162 43743 49992 58324 64573 87486 116648 129146 174972 193719 258292 349944 387438 452011 516584 615773 774876 904022 1231546 1356033 1549752 1808044 1847319 2463092 2712066 3616088 3694638 4310411 4926184 5424132 7389276 8620822 10848264 12931233 14778552 17241644 19088963 25862466 34483288 38177926 51724932 57266889 76355852 103449864 114533778 133622741 152711704 229067556 267245482 400868223 458135112 534490964 801736446 1068981928 1282655159 1603472892 2565310318 3206945784 3847965477 5130620636 7695930954 8978586113 10261241272 15391861908 17957172226 26935758339 30783723816 35914344452 39762309929 53871516678 71828688904 79524619858 107743033356 119286929787 159049239716 215486066712 238573859574 278336169503 318098479432 477147719148 556672339006 835008508509 954295438296 1113344678012 1670017017018 2226689356024 3340034034036 6680068068072