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12884901888 = 2323
BaseRepresentation
bin11000000000000000…
…00000000000000000
31020020222012211112110
430000000000000000
5202342013330023
65530320055320
7634204600425
oct140000000000
936228184473
1012884901888
115512211551
1225b7164540
1312a45a3001
148a3367d4c
155062b8a93
hex300000000

12884901888 has 66 divisors (see below), whose sum is σ = 34359738364. Its totient is φ = 4294967296.

The previous prime is 12884901877. The next prime is 12884901893. The reversal of 12884901888 is 88810948821.

It is a Jordan-Polya number, since it can be written as 4! ⋅ (2!)29.

It is a nialpdrome in base 2, base 4 and base 16.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

In principle, a polygon with 12884901888 sides can be constructed with ruler and compass.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4294967295 + 4294967296 + 4294967297.

Almost surely, 212884901888 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 12884901888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17179869182).

12884901888 is an abundant number, since it is smaller than the sum of its proper divisors (21474836476).

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

12884901888 is an frugal number, since it uses more digits than its factorization.

12884901888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 57.

The spelling of 12884901888 in words is "twelve billion, eight hundred eighty-four million, nine hundred one thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 6144 8192 12288 16384 24576 32768 49152 65536 98304 131072 196608 262144 393216 524288 786432 1048576 1572864 2097152 3145728 4194304 6291456 8388608 12582912 16777216 25165824 33554432 50331648 67108864 100663296 134217728 201326592 268435456 402653184 536870912 805306368 1073741824 1610612736 2147483648 3221225472 4294967296 6442450944 12884901888