Search a number
-
+
491437646336 = 2971397108739
BaseRepresentation
bin1110010011010111111…
…01110110001000000000
31201222111010122002010202
413021223331312020000
531022431014140321
61013432514144332
750335166033210
oct7115375661000
91658433562122
10491437646336
1117a46581545a
127b2b15820a8
133745b260510
1419adddb2240
15cbb40a470b
hex726bf76200

491437646336 has 160 divisors (see below), whose sum is σ = 1220981435520. Its totient is φ = 192408846336.

The previous prime is 491437646333. The next prime is 491437646363. The reversal of 491437646336 is 633646734194.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (491437646333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4465055 + ... + 4573793.

It is an arithmetic number, because the mean of its divisors is an integer number (7631133972).

Almost surely, 2491437646336 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 491437646336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610490717760).

491437646336 is an abundant number, since it is smaller than the sum of its proper divisors (729543789184).

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

491437646336 is a wasteful number, since it uses less digits than its factorization.

491437646336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108874 (or 108858 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 56.

The spelling of 491437646336 in words is "four hundred ninety-one billion, four hundred thirty-seven million, six hundred forty-six thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 97 104 112 128 182 194 208 224 256 364 388 416 448 512 679 728 776 832 896 1261 1358 1456 1552 1664 1792 2522 2716 2912 3104 3328 3584 5044 5432 5824 6208 6656 8827 10088 10864 11648 12416 17654 20176 21728 23296 24832 35308 40352 43456 46592 49664 70616 80704 86912 108739 141232 161408 173824 217478 282464 322816 347648 434956 564928 645632 761173 869912 1129856 1413607 1522346 1739824 2259712 2827214 3044692 3479648 4519424 5654428 6089384 6959296 9895249 10547683 11308856 12178768 13918592 19790498 21095366 22617712 24357536 27837184 39580996 42190732 45235424 48715072 55674368 73833781 79161992 84381464 90470848 97430144 137119879 147667562 158323984 168762928 180941696 194860288 274239758 295335124 316647968 337525856 361883392 389720576 548479516 590670248 633295936 675051712 723766784 959839153 1096959032 1181340496 1266591872 1350103424 1919678306 2193918064 2362680992 2533183744 2700206848 3839356612 4387836128 4725361984 5066367488 5400413696 7678713224 8775672256 9450723968 15357426448 17551344512 18901447936 30714852896 35102689024 37802895872 61429705792 70205378048 122859411584 245718823168 491437646336