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3663313060 = 22511291733319
BaseRepresentation
bin1101101001011001…
…1011100010100100
3100110022011120210111
43122112123202210
530000302004220
61403301302404
7156531435001
oct33226334244
910408146714
103663313060
11160a932360
12862a04a04
13464c4a084
1426a7508a8
1516691b15a
hexda59b8a4

3663313060 has 96 divisors (see below), whose sum is σ = 8734521600. Its totient is φ = 1278359040.

The previous prime is 3663313037. The next prime is 3663313067. The reversal of 3663313060 is 603133663.

3663313060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3663313067) 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, 1102081 + ... + 1105399.

It is an arithmetic number, because the mean of its divisors is an integer number (90984600).

Almost surely, 23663313060 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 3663313060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4367260800).

3663313060 is an abundant number, since it is smaller than the sum of its proper divisors (5071208540).

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

3663313060 is a wasteful number, since it uses less digits than its factorization.

3663313060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3541 (or 3539 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 31.

The square root of 3663313060 is about 60525.3092515850. The cubic root of 3663313060 is about 1541.5514050407.

The spelling of 3663313060 in words is "three billion, six hundred sixty-three million, three hundred thirteen thousand, sixty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 173 220 290 319 346 580 638 692 865 1276 1595 1730 1903 3190 3319 3460 3806 5017 6380 6638 7612 9515 10034 13276 16595 19030 20068 25085 33190 36509 38060 50170 55187 66380 73018 96251 100340 110374 146036 182545 192502 220748 275935 365090 385004 481255 551870 574187 730180 962510 1058761 1103740 1148374 1925020 2117522 2296748 2870935 4235044 5293805 5741870 6316057 10587610 11483740 12632114 16651423 21175220 25264228 31580285 33302846 63160570 66605692 83257115 126321140 166514230 183165653 333028460 366331306 732662612 915828265 1831656530 3663313060