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12935233536 = 2243257
BaseRepresentation
bin11000000110000000…
…00000000000000000
31020101110220221120120
430003000000000000
5202442404433121
65535314540240
7635355446061
oct140300000000
936343827516
1012935233536
115538669455
12260bb97680
1312b1b46354
148a9d0a568
1550a90bbc6
hex303000000

12935233536 has 100 divisors (see below), whose sum is σ = 34628172792. Its totient is φ = 4294967296.

The previous prime is 12935233439. The next prime is 12935233637. The reversal of 12935233536 is 63533253921.

It is a zygodrome in base 2.

It is an unprimeable number.

In principle, a polygon with 12935233536 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50331520 + ... + 50331776.

Almost surely, 212935233536 is an apocalyptic number.

12935233536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12935233536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17314086396).

12935233536 is an abundant number, since it is smaller than the sum of its proper divisors (21692939256).

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

12935233536 is an frugal number, since it uses more digits than its factorization.

12935233536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 262 counting only the distinct ones).

The product of its digits is 437400, while the sum is 42.

The spelling of 12935233536 in words is "twelve billion, nine hundred thirty-five million, two hundred thirty-three thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 257 384 512 514 768 771 1024 1028 1536 1542 2048 2056 3072 3084 4096 4112 6144 6168 8192 8224 12288 12336 16384 16448 24576 24672 32768 32896 49152 49344 65536 65792 98304 98688 131072 131584 196608 197376 262144 263168 393216 394752 524288 526336 786432 789504 1048576 1052672 1572864 1579008 2097152 2105344 3145728 3158016 4194304 4210688 6291456 6316032 8388608 8421376 12582912 12632064 16777216 16842752 25165824 25264128 33685504 50331648 50528256 67371008 101056512 134742016 202113024 269484032 404226048 538968064 808452096 1077936128 1616904192 2155872256 3233808384 4311744512 6467616768 12935233536