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3189216448 = 261111533929
BaseRepresentation
bin1011111000010111…
…1001010011000000
322020021001222111201
42332011321103000
523012414411243
61244243550544
7142013615065
oct27605712300
98207058451
103189216448
111397258580
1275008b454
133ba964432
142237bcc6c
15139ebd04d
hexbe1794c0

3189216448 has 56 divisors (see below), whose sum is σ = 6911675280. Its totient is φ = 1448017920.

The previous prime is 3189216397. The next prime is 3189216469. The reversal of 3189216448 is 8446129813.

It is a super-2 number, since 2×31892164482 = 20342203104387473408, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3189216398 and 3189216407.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 809748 + ... + 813676.

Almost surely, 23189216448 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 3189216448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3455837640).

3189216448 is an abundant number, since it is smaller than the sum of its proper divisors (3722458832).

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

3189216448 is a wasteful number, since it uses less digits than its factorization.

3189216448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5105 (or 5095 counting only the distinct ones).

The product of its digits is 331776, while the sum is 46.

The square root of 3189216448 is about 56473.1480262965. The cubic root of 3189216448 is about 1471.9554472180.

The spelling of 3189216448 in words is "three billion, one hundred eighty-nine million, two hundred sixteen thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 1153 2306 3929 4612 7858 9224 12683 15716 18448 25366 31432 36896 43219 50732 62864 73792 86438 101464 125728 172876 202928 251456 345752 405856 691504 811712 1383008 2766016 4530137 9060274 18120548 36241096 49831507 72482192 99663014 144964384 199326028 289928768 398652056 797304112 1594608224 3189216448