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334271896416 = 253542987641
BaseRepresentation
bin1001101110101000010…
…10000101101101100000
31011221210222112202100000
410313110022011231200
520434042101141131
6413321250500000
733102366144603
oct4672412055540
91157728482300
10334271896416
11119844853337
125494ab94600
13256a2253463
1412270a7a33a
158a66369ce6
hex4dd4285b60

334271896416 has 72 divisors (see below), whose sum is σ = 985792606344. Its totient is φ = 111423962880.

The previous prime is 334271896391. The next prime is 334271896421. The reversal of 334271896416 is 614698172433.

334271896416 is a `hidden beast` number, since 3 + 3 + 42 + 7 + 189 + 6 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3342718964162 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21486045 + ... + 21501596.

It is an arithmetic number, because the mean of its divisors is an integer number (13691563977).

Almost surely, 2334271896416 is an apocalyptic number.

334271896416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

334271896416 is an abundant number, since it is smaller than the sum of its proper divisors (651520709928).

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

334271896416 is an equidigital number, since it uses as much as digits as its factorization.

334271896416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42987666 (or 42987646 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 334271896416 in words is "three hundred thirty-four billion, two hundred seventy-one million, eight hundred ninety-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 7776 42987641 85975282 128962923 171950564 257925846 343901128 386888769 515851692 687802256 773777538 1031703384 1160666307 1375604512 1547555076 2063406768 2321332614 3095110152 3481998921 4126813536 4642665228 6190220304 6963997842 9285330456 10445996763 12380440608 13927995684 18570660912 20891993526 27855991368 37141321824 41783987052 55711982736 83567974104 111423965472 167135948208 334271896416