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6013312052304 = 2431953730917021
BaseRepresentation
bin101011110000001010101…
…0101000010110001010000
3210021212102001111212122110
41113200111111002301100
51242010230341133204
620442251042305320
71160306323043244
oct127402525026120
923255361455573
106013312052304
111a0925a983377
12811506058240
1334808c28c31b
1416b08db88424
15a66479c9889
hex57815542c50

6013312052304 has 160 divisors (see below), whose sum is σ = 16663775414400. Its totient is φ = 1862747228160.

The previous prime is 6013312052299. The next prime is 6013312052329. The reversal of 6013312052304 is 4032502133106.

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 31 ways as a sum of consecutive naturals, for example, 353279314 + ... + 353296334.

It is an arithmetic number, because the mean of its divisors is an integer number (104148596340).

Almost surely, 26013312052304 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 6013312052304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8331887707200).

6013312052304 is an abundant number, since it is smaller than the sum of its proper divisors (10650463362096).

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

6013312052304 is a wasteful number, since it uses less digits than its factorization.

6013312052304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24413 (or 24407 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The spelling of 6013312052304 in words is "six trillion, thirteen billion, three hundred twelve million, fifty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 53 57 76 106 114 152 159 212 228 304 318 424 456 636 848 912 1007 1272 2014 2544 3021 4028 6042 7309 8056 12084 14618 16112 17021 21927 24168 29236 34042 43854 48336 51063 58472 68084 87708 102126 116944 136168 138871 175416 204252 272336 277742 323399 350832 387377 408504 416613 555484 646798 774754 817008 833226 902113 970197 1110968 1162131 1293596 1549508 1666452 1804226 1940394 2221936 2324262 2587192 2706339 3099016 3332904 3608452 3880788 4648524 5174384 5412678 6198032 6665808 7216904 7360163 7761576 9297048 10825356 14433808 14720326 15523152 17140147 18594096 21650712 22080489 29440652 34280294 43301424 44160978 51420441 58881304 68560588 88321956 102840882 117762608 124406489 137121176 176643912 205681764 248812978 274242352 353287824 373219467 411363528 497625956 746438934 822727056 995251912 1492877868 1990503824 2363723291 2985755736 4727446582 5971511472 6593543917 7091169873 9454893164 13187087834 14182339746 18909786328 19780631751 26374175668 28364679492 37819572656 39561263502 52748351336 56729358984 79122527004 105496702672 113458717968 125277334423 158245054008 250554668846 316490108016 375832003269 501109337692 751664006538 1002218675384 1503328013076 2004437350768 3006656026152 6013312052304