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806483396768 = 25727950912791
BaseRepresentation
bin10111011110001100010…
…10000000100010100000
32212002200012210102100212
423233012022000202200
5101203134222144033
61414254322033252
7112160260523300
oct13570612004240
92762605712325
10806483396768
11291033941745
121103757a8828
135b08823621a
142b069447600
1515ea25b3748
hexbbc62808a0

806483396768 has 144 divisors (see below), whose sum is σ = 1874191737600. Its totient is φ = 340563525120.

The previous prime is 806483396767. The next prime is 806483396813. The reversal of 806483396768 is 867693384608.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 806483396698 and 806483396707.

It is not an unprimeable number, because it can be changed into a prime (806483396767) 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, 63044453 + ... + 63057243.

It is an arithmetic number, because the mean of its divisors is an integer number (13015220400).

Almost surely, 2806483396768 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 806483396768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937095868800).

806483396768 is an abundant number, since it is smaller than the sum of its proper divisors (1067708340832).

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

806483396768 is a wasteful number, since it uses less digits than its factorization.

806483396768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13403 (or 13388 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 68.

The spelling of 806483396768 in words is "eight hundred six billion, four hundred eighty-three million, three hundred ninety-six thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 79 98 112 158 196 224 316 392 509 553 632 784 1018 1106 1264 1568 2036 2212 2528 3563 3871 4072 4424 7126 7742 8144 8848 12791 14252 15484 16288 17696 24941 25582 28504 30968 40211 49882 51164 57008 61936 80422 89537 99764 102328 114016 123872 160844 179074 199528 204656 281477 321688 358148 399056 409312 562954 626759 643376 716296 798112 1010489 1125908 1253518 1286752 1432592 1970339 2020978 2251816 2507036 2865184 3940678 4041956 4503632 5014072 6510619 7073423 7881356 8083912 9007264 10028144 13021238 14146846 15762712 16167824 20056288 26042476 28293692 31525424 32335648 45574333 49513961 52084952 56587384 63050848 91148666 99027922 104169904 113174768 182297332 198055844 208339808 226349536 319020331 364594664 396111688 514338901 638040662 729189328 792223376 1028677802 1276081324 1458378656 1584446752 2057355604 2552162648 3600372307 4114711208 5104325296 7200744614 8229422416 10208650592 14401489228 16458844832 25202606149 28802978456 50405212298 57605956912 100810424596 115211913824 201620849192 403241698384 806483396768