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663936780 = 2235132411597
BaseRepresentation
bin100111100100101…
…101111100001100
31201021022111001010
4213210231330030
52324431434110
6145514245220
722311240513
oct4744557414
91637274033
10663936780
11310858591
12166426810
13a7723700
146426b67a
153d44c020
hex2792df0c

663936780 has 144 divisors (see below), whose sum is σ = 2063414304. Its totient is φ = 159344640.

The previous prime is 663936761. The next prime is 663936781. The reversal of 663936780 is 87639366.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (663936781) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 414942 + ... + 416538.

It is an arithmetic number, because the mean of its divisors is an integer number (14329266).

Almost surely, 2663936780 is an apocalyptic number.

663936780 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 663936780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031707152).

663936780 is an abundant number, since it is smaller than the sum of its proper divisors (1399477524).

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

663936780 is a wasteful number, since it uses less digits than its factorization.

663936780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1676 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 48.

The square root of 663936780 is about 25766.9707183441. The cubic root of 663936780 is about 872.3864456504.

The spelling of 663936780 in words is "six hundred sixty-three million, nine hundred thirty-six thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 41 52 60 65 78 82 123 130 156 164 169 195 205 246 260 338 390 410 492 507 533 615 676 780 820 845 1014 1066 1230 1597 1599 1690 2028 2132 2460 2535 2665 3194 3198 3380 4791 5070 5330 6388 6396 6929 7985 7995 9582 10140 10660 13858 15970 15990 19164 20761 20787 23955 27716 31940 31980 34645 41522 41574 47910 62283 65477 69290 83044 83148 95820 103805 103935 124566 130954 138580 196431 207610 207870 249132 261908 269893 311415 327385 392862 415220 415740 539786 622830 654770 785724 809679 851201 982155 1079572 1245660 1309540 1349465 1619358 1702402 1964310 2553603 2698930 3238716 3404804 3928620 4048395 4256005 5107206 5397860 8096790 8512010 10214412 11065613 12768015 16193580 17024020 22131226 25536030 33196839 44262452 51072060 55328065 66393678 110656130 132787356 165984195 221312260 331968390 663936780