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3682197216 = 253212785407
BaseRepresentation
bin1101101101111001…
…1101111011100000
3100111121200222222200
43123132131323200
530020120302331
61405214133200
7160151105565
oct33336357340
910447628880
103682197216
11161a5602a5
128691b1200
13468b2c629
1426d06886c
151683eb5e6
hexdb79dee0

3682197216 has 36 divisors (see below), whose sum is σ = 10471249152. Its totient is φ = 1227398976.

The previous prime is 3682197203. The next prime is 3682197223. The reversal of 3682197216 is 6127912863.

3682197216 is a `hidden beast` number, since 368 + 219 + 72 + 1 + 6 = 666.

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

It is a congruent number.

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, 6392416 + ... + 6392991.

It is an arithmetic number, because the mean of its divisors is an integer number (290868032).

Almost surely, 23682197216 is an apocalyptic number.

3682197216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3682197216 is an abundant number, since it is smaller than the sum of its proper divisors (6789051936).

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

3682197216 is a wasteful number, since it uses less digits than its factorization.

3682197216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12785423 (or 12785412 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 3682197216 is about 60681.1108665621. The cubic root of 3682197216 is about 1544.1957343558.

The spelling of 3682197216 in words is "three billion, six hundred eighty-two million, one hundred ninety-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 12785407 25570814 38356221 51141628 76712442 102283256 115068663 153424884 204566512 230137326 306849768 409133024 460274652 613699536 920549304 1227399072 1841098608 3682197216