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3663683820 = 22325172311813
BaseRepresentation
bin1101101001011111…
…0110000011101100
3100110022212102101100
43122113312003230
530000400340240
61403313243100
7156534540636
oct33227660354
910408772340
103663683820
111610065975
12862b63490
13465049a64
1426a809a56
15166990e30
hexda5f60ec

3663683820 has 72 divisors (see below), whose sum is σ = 11120565456. Its totient is φ = 976332672.

The previous prime is 3663683813. The next prime is 3663683831. The reversal of 3663683820 is 283863663.

3663683820 is a `hidden beast` number, since 3 + 6 + 636 + 8 + 3 + 8 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 304234 + ... + 316046.

It is an arithmetic number, because the mean of its divisors is an integer number (154452298).

Almost surely, 23663683820 is an apocalyptic number.

3663683820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3663683820 is an abundant number, since it is smaller than the sum of its proper divisors (7456881636).

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

3663683820 is a wasteful number, since it uses less digits than its factorization.

3663683820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13551 (or 13546 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The square root of 3663683820 is about 60528.3720250264. The cubic root of 3663683820 is about 1541.6034095431.

The spelling of 3663683820 in words is "three billion, six hundred sixty-three million, six hundred eighty-three thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1723 3446 5169 6892 8615 10338 11813 15507 17230 20676 23626 25845 31014 34460 35439 47252 51690 59065 62028 70878 77535 103380 106317 118130 141756 155070 177195 212634 236260 310140 354390 425268 531585 708780 1063170 2126340 20353799 40707598 61061397 81415196 101768995 122122794 183184191 203537990 244245588 305306985 366368382 407075980 610613970 732736764 915920955 1221227940 1831841910 3663683820