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3663812140 = 2252324133049
BaseRepresentation
bin1101101001100001…
…0101011000101100
3100110100002221101221
43122120111120230
530000413442030
61403320113124
7156535614022
oct33230253054
910410087357
103663812140
11161014331a
128630057a4
134650932a1
1426a840712
151669b8e7a
hexda61562c

3663812140 has 48 divisors (see below), whose sum is σ = 8062084800. Its totient is φ = 1395947520.

The previous prime is 3663812129. The next prime is 3663812147. The reversal of 3663812140 is 412183663.

It is a happy number.

It is a super-2 number, since 2×36638121402 = 26847038794422759200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3663812096 and 3663812105.

It is not an unprimeable number, because it can be changed into a prime (3663812147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94336 + ... + 127384.

It is an arithmetic number, because the mean of its divisors is an integer number (167960100).

Almost surely, 23663812140 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 3663812140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4031042400).

3663812140 is an abundant number, since it is smaller than the sum of its proper divisors (4398272660).

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

3663812140 is a wasteful number, since it uses less digits than its factorization.

3663812140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33322 (or 33320 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 3663812140 is about 60529.4320145167. The cubic root of 3663812140 is about 1541.6214074791.

The spelling of 3663812140 in words is "three billion, six hundred sixty-three million, eight hundred twelve thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 241 460 482 964 1205 2410 4820 5543 11086 22172 27715 33049 55430 66098 110860 132196 165245 330490 660980 760127 1520254 3040508 3800635 7601270 7964809 15202540 15929618 31859236 39824045 79648090 159296180 183190607 366381214 732762428 915953035 1831906070 3663812140