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809919337120 = 2557369342409
BaseRepresentation
bin10111100100100101111…
…01000101001010100000
32212102112200010021102221
423302102331011022200
5101232203322241440
61420023302120424
7112341361530145
oct13622275051240
92772480107387
10809919337120
11292537395573
12110b74420114
135b4b5033b1a
142b2b38cc3cc
1516104069d4a
hexbc92f452a0

809919337120 has 48 divisors (see below), whose sum is σ = 1939645892520. Its totient is φ = 319529816064.

The previous prime is 809919337111. The next prime is 809919337159. The reversal of 809919337120 is 21733919908.

It can be written as a sum of positive squares in 4 ways, for example, as 436006654864 + 373912682256 = 660308^2 + 611484^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34659525 + ... + 34682884.

Almost surely, 2809919337120 is an apocalyptic number.

809919337120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

809919337120 is an abundant number, since it is smaller than the sum of its proper divisors (1129726555400).

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

809919337120 is a wasteful number, since it uses less digits than its factorization.

809919337120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69342497 (or 69342489 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 52.

The spelling of 809919337120 in words is "eight hundred nine billion, nine hundred nineteen million, three hundred thirty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 73 80 146 160 292 365 584 730 1168 1460 2336 2920 5840 11680 69342409 138684818 277369636 346712045 554739272 693424090 1109478544 1386848180 2218957088 2773696360 5061995857 5547392720 10123991714 11094785440 20247983428 25309979285 40495966856 50619958570 80991933712 101239917140 161983867424 202479834280 404959668560 809919337120