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33313421312 = 21134746877
BaseRepresentation
bin11111000001101000…
…100111100000000000
310011222200002010220222
4133001220213200000
51021211213440222
623145354122212
72256352260203
oct370150474000
9104880063828
1033313421312
1113145615556
126558720368
1331ab996322
14188051993a
15cee97d542
hex7c1a27800

33313421312 has 48 divisors (see below), whose sum is σ = 66803962680. Its totient is φ = 16608354304.

The previous prime is 33313421299. The next prime is 33313421327. The reversal of 33313421312 is 21312431333.

It is a super-2 number, since 2×333134213122 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 687218 + ... + 734094.

Almost surely, 233313421312 is an apocalyptic number.

33313421312 is a gapful number since it is divisible by the number (32) 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 33313421312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33401981340).

33313421312 is an abundant number, since it is smaller than the sum of its proper divisors (33490541368).

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

33313421312 is an equidigital number, since it uses as much as digits as its factorization.

33313421312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47246 (or 47226 counting only the distinct ones).

The product of its digits is 3888, while the sum is 26.

Adding to 33313421312 its reverse (21312431333), we get a palindrome (54625852645).

The spelling of 33313421312 in words is "thirty-three billion, three hundred thirteen million, four hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 256 347 512 694 1024 1388 2048 2776 5552 11104 22208 44416 46877 88832 93754 177664 187508 355328 375016 710656 750032 1500064 3000128 6000256 12000512 16266319 24001024 32532638 48002048 65065276 96004096 130130552 260261104 520522208 1041044416 2082088832 4164177664 8328355328 16656710656 33313421312