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308966796768 = 2537285976463
BaseRepresentation
bin1000111111011111101…
…10110010110111100000
31002112111102112111111010
410133233312302313200
520030230444444033
6353534250420520
731215325304100
oct4375766626740
91075442474433
10308966796768
1110a03977a443
124ba68431740
132319b754c06
1410d4dd93200
1580849cc863
hex47efdb2de0

308966796768 has 144 divisors (see below), whose sum is σ = 944562850560. Its totient is φ = 88172308224.

The previous prime is 308966796763. The next prime is 308966796811. The reversal of 308966796768 is 867697669803.

It is a Smith number, since the sum of its digits (75) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 308966796768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (308966796763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4002505 + ... + 4078967.

It is an arithmetic number, because the mean of its divisors is an integer number (6559464240).

Almost surely, 2308966796768 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 308966796768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472281425280).

308966796768 is an abundant number, since it is smaller than the sum of its proper divisors (635596053792).

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

308966796768 is a wasteful number, since it uses less digits than its factorization.

308966796768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77349 (or 77334 counting only the distinct ones).

The product of its (nonzero) digits is 987614208, while the sum is 75.

The spelling of 308966796768 in words is "three hundred eight billion, nine hundred sixty-six million, seven hundred ninety-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 859 1176 1568 1718 2352 2577 3436 4704 5154 6013 6872 10308 12026 13744 18039 20616 24052 27488 36078 41232 42091 48104 72156 76463 82464 84182 96208 126273 144312 152926 168364 192416 229389 252546 288624 305852 336728 458778 505092 535241 577248 611704 673456 917556 1010184 1070482 1223408 1346912 1605723 1835112 2020368 2140964 2446816 3211446 3670224 3746687 4040736 4281928 6422892 7340448 7493374 8563856 11240061 12845784 14986748 17127712 22480122 25691568 29973496 44960244 51383136 59946992 65681717 89920488 119893984 131363434 179840976 197045151 262726868 359681952 394090302 459772019 525453736 788180604 919544038 1050907472 1379316057 1576361208 1839088076 2101814944 2758632114 3152722416 3218404133 3678176152 5517264228 6305444832 6436808266 7356352304 9655212399 11034528456 12873616532 14712704608 19310424798 22069056912 25747233064 38620849596 44138113824 51494466128 77241699192 102988932256 154483398384 308966796768