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3661350048 = 253212713021
BaseRepresentation
bin1101101000111011…
…1100010010100000
3100110011110212001100
43122032330102200
524444301200143
61403151234400
7156505650636
oct33216742240
910404425040
103661350048
111609811534
12862218a00
13464710725
1426a39d356
1516667e6d3
hexda3bc4a0

3661350048 has 36 divisors (see below), whose sum is σ = 10411965018. Its totient is φ = 1220449920.

The previous prime is 3661350019. The next prime is 3661350053. The reversal of 3661350048 is 8400531663.

3661350048 is a `hidden beast` number, since 36 + 613 + 5 + 0 + 0 + 4 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3264065424 + 397284624 = 57132^2 + 19932^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3661349994 and 3661350021.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6356223 + ... + 6356798.

Almost surely, 23661350048 is an apocalyptic number.

It is an amenable number.

3661350048 is an abundant number, since it is smaller than the sum of its proper divisors (6750614970).

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

3661350048 is a wasteful number, since it uses less digits than its factorization.

3661350048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12713037 (or 12713026 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3661350048 is about 60509.0906228147. The cubic root of 3661350048 is about 1541.2760054653.

The spelling of 3661350048 in words is "three billion, six hundred sixty-one million, three hundred fifty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 12713021 25426042 38139063 50852084 76278126 101704168 114417189 152556252 203408336 228834378 305112504 406816672 457668756 610225008 915337512 1220450016 1830675024 3661350048