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3661656144 = 24376284503
BaseRepresentation
bin1101101001000000…
…0111000001010000
3100110012001101221020
43122100013001100
524444340444034
61403201555440
7156511364226
oct33220070120
910405041836
103661656144
111609a00503
12862345b80
134647b9b53
1426a43cb16
151666e0249
hexda407050

3661656144 has 20 divisors (see below), whose sum is σ = 9459278496. Its totient is φ = 1220552032.

The previous prime is 3661656127. The next prime is 3661656149. The reversal of 3661656144 is 4416561663.

It is a junction number, because it is equal to n+sod(n) for n = 3661656096 and 3661656105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3661656149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38142204 + ... + 38142299.

Almost surely, 23661656144 is an apocalyptic number.

It is an amenable number.

3661656144 is an abundant number, since it is smaller than the sum of its proper divisors (5797622352).

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

3661656144 is a wasteful number, since it uses less digits than its factorization.

3661656144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76284514 (or 76284508 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The square root of 3661656144 is about 60511.6199089068. The cubic root of 3661656144 is about 1541.3189554945.

The spelling of 3661656144 in words is "three billion, six hundred sixty-one million, six hundred fifty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 76284503 152569006 228853509 305138012 457707018 610276024 915414036 1220552048 1830828072 3661656144