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8482474742848 = 261911934198581
BaseRepresentation
bin111101101101111101011…
…1001001101010001000000
31010000220202020201210211121
41323123322321031101000
52102434102013232343
630012443424122024
71533560426444461
oct173337271152100
933026666653747
108482474742848
112780440944637
12b4bb63766314
13496b80c92492
142147a8134d68
15ea9ae219aed
hex7b6fae4d440

8482474742848 has 112 divisors (see below), whose sum is σ = 17050789002240. Its totient is φ = 4186666598400.

The previous prime is 8482474742839. The next prime is 8482474742899.

8482474742848 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×84824747428482 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 988513918 + ... + 988522498.

It is an arithmetic number, because the mean of its divisors is an integer number (152239187520).

Almost surely, 28482474742848 is an apocalyptic number.

It is an amenable number.

8482474742848 is an abundant number, since it is smaller than the sum of its proper divisors (8568314259392).

8482474742848 is a wasteful number, since it uses less digits than its factorization.

8482474742848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9396 (or 9386 counting only the distinct ones).

The product of its digits is 822083584, while the sum is 70.

The spelling of 8482474742848 in words is "eight trillion, four hundred eighty-two billion, four hundred seventy-four million, seven hundred forty-two thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 191 193 382 386 419 764 772 838 1528 1544 1676 3056 3088 3352 6112 6176 6704 8581 12224 12352 13408 17162 26816 34324 36863 68648 73726 80029 80867 137296 147452 160058 161734 274592 294904 320116 323468 549184 589808 640232 646936 1179616 1280464 1293872 1638971 1656133 2359232 2560928 2587744 3277942 3312266 3595439 5121856 5175488 6555884 6624532 7190878 13111768 13249064 14381756 15445597 26223536 26498128 28763512 30891194 52447072 52996256 57527024 61782388 104894144 105992512 115054048 123564776 230108096 247129552 316321403 494259104 632642806 686728849 693919727 988518208 1265285612 1373457698 1387839454 2530571224 2746915396 2775678908 5061142448 5493830792 5551357816 10122284896 10987661584 11102715632 20244569792 21975323168 22205431264 43950646336 44410862528 132538667857 265077335714 530154671428 1060309342856 2120618685712 4241237371424 8482474742848