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806491710752 = 257132357117503
BaseRepresentation
bin10111011110001101010…
…01101110010100100000
32212002200210102211000012
423233012221232110200
5101203143334221002
61414255220144052
7112160421301310
oct13570651562440
92762623384005
10806491710752
11291038600102
12110378538028
135b089b87540
142b06a5ad440
1515ea31a6d52
hexbbc6a6e520

806491710752 has 96 divisors (see below), whose sum is σ = 1955037192192. Its totient is φ = 318913588224.

The previous prime is 806491710721. The next prime is 806491710767. The reversal of 806491710752 is 257017194608.

It is a happy number.

806491710752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 806491710752.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6804833 + ... + 6922335.

It is an arithmetic number, because the mean of its divisors is an integer number (20364970752).

Almost surely, 2806491710752 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 806491710752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977518596096).

806491710752 is an abundant number, since it is smaller than the sum of its proper divisors (1148545481440).

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

806491710752 is a wasteful number, since it uses less digits than its factorization.

806491710752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119890 (or 119882 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 50.

The spelling of 806491710752 in words is "eight hundred six billion, four hundred ninety-one million, seven hundred ten thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 2357 2912 4714 9428 16499 18856 30641 32998 37712 61282 65996 75424 117503 122564 131992 214487 235006 245128 263984 428974 470012 490256 527968 822521 857948 940024 980512 1527539 1645042 1715896 1880048 3055078 3290084 3431792 3760096 6110156 6580168 6863584 10692773 12220312 13160336 21385546 24440624 26320672 42771092 48881248 85542184 171084368 276954571 342168736 553909142 1107818284 1938681997 2215636568 3600409423 3877363994 4431273136 7200818846 7754727988 8862546272 14401637692 15509455976 25202865961 28803275384 31018911952 50405731922 57606550768 62037823904 100811463844 115213101536 201622927688 403245855376 806491710752