Search a number
-
+
707071313328 = 24353674499239
BaseRepresentation
bin10100100101000001011…
…11000000010110110000
32111121002000102100000120
422102200233000112300
543041040224011303
61300454000050240
7102040612666242
oct12224057002660
92447060370016
10707071313328
1125295a360aa6
12b5050903980
13518a4481403
1426318506092
15135d4cab553
hexa4a0bc05b0

707071313328 has 160 divisors (see below), whose sum is σ = 1893253824000. Its totient is φ = 227260121088.

The previous prime is 707071313321. The next prime is 707071313341. The reversal of 707071313328 is 823313170707.

It is a self number, because there is not a number n which added to its sum of digits gives 707071313328.

It is not an unprimeable number, because it can be changed into a prime (707071313321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76526533 + ... + 76535771.

It is an arithmetic number, because the mean of its divisors is an integer number (11832836400).

Almost surely, 2707071313328 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 707071313328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946626912000).

707071313328 is an abundant number, since it is smaller than the sum of its proper divisors (1186182510672).

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

707071313328 is a wasteful number, since it uses less digits than its factorization.

707071313328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9819 (or 9813 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 42.

The spelling of 707071313328 in words is "seven hundred seven billion, seventy-one million, three hundred thirteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 67 106 134 159 201 212 268 318 402 424 449 536 636 804 848 898 1072 1272 1347 1608 1796 2544 2694 3216 3551 3592 5388 7102 7184 9239 10653 10776 14204 18478 21306 21552 23797 27717 28408 30083 36956 42612 47594 55434 56816 60166 71391 73912 85224 90249 95188 110868 120332 142782 147824 170448 180498 190376 221736 240664 285564 360996 380752 443472 481328 489667 571128 619013 721992 979334 1142256 1238026 1443984 1469001 1594399 1857039 1958668 2476052 2938002 3188798 3714078 3917336 4148311 4783197 4952104 5876004 6377596 7428156 7834672 8296622 9566394 9904208 11752008 12444933 12755192 14856312 16593244 19132788 23504016 24889866 25510384 29712624 32807689 33186488 38265576 49779732 65615378 66372976 76531152 98423067 99559464 131230756 196846134 199118928 219860483 262461512 277936837 393692268 439720966 524923024 555873674 659581449 787384536 833810511 879441932 1111747348 1319162898 1574769072 1667621022 1758883864 2223494696 2638325796 3335242044 3517767728 4446989392 5276651592 6670484088 10553303184 13340968176 14730652361 29461304722 44191957083 58922609444 88383914166 117845218888 176767828332 235690437776 353535656664 707071313328