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663413640 = 2335311391283
BaseRepresentation
bin100111100010101…
…110001110001000
31201020022220102120
4213202232032020
52324313214030
6145455131240
722303631361
oct4742561610
91636286376
10663413640
1131053053a
12166213b20
13a759c566
1464172b68
153d397010
hex278ae388

663413640 has 128 divisors (see below), whose sum is σ = 2070835200. Its totient is φ = 169839360.

The previous prime is 663413617. The next prime is 663413711. The reversal of 663413640 is 46314366.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 516439 + ... + 517721.

It is an arithmetic number, because the mean of its divisors is an integer number (16178400).

Almost surely, 2663413640 is an apocalyptic number.

663413640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 663413640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035417600).

663413640 is an abundant number, since it is smaller than the sum of its proper divisors (1407421560).

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

663413640 is a wasteful number, since it uses less digits than its factorization.

663413640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1467 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 663413640 is about 25756.8173499755. The cubic root of 663413640 is about 872.1572570802.

The spelling of 663413640 in words is "six hundred sixty-three million, four hundred thirteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 139 155 186 248 278 310 372 417 465 556 620 695 744 834 930 1112 1240 1283 1390 1668 1860 2085 2566 2780 3336 3720 3849 4170 4309 5132 5560 6415 7698 8340 8618 10264 12830 12927 15396 16680 17236 19245 21545 25660 25854 30792 34472 38490 39773 43090 51320 51708 64635 76980 79546 86180 103416 119319 129270 153960 159092 172360 178337 198865 238638 258540 318184 356674 397730 477276 517080 535011 596595 713348 795460 891685 954552 1070022 1193190 1426696 1590920 1783370 2140044 2386380 2675055 3566740 4280088 4772760 5350110 5528447 7133480 10700220 11056894 16585341 21400440 22113788 27642235 33170682 44227576 55284470 66341364 82926705 110568940 132682728 165853410 221137880 331706820 663413640