Search a number
-
+
68928259515270 = 23523114438729881
BaseRepresentation
bin11111010110000100111000…
…11011000110001110000110
3100001001110212220211010020120
433223002130123012032012
533013310033413442040
6402333112201242410
720342621345564601
oct1753023433061606
9301043786733216
1068928259515270
111aa653465a4231
127892912793406
132c5cba3840bcc
1413042075c3338
157e7eaee6e7d0
hex3eb09c6c6386

68928259515270 has 64 divisors (see below), whose sum is σ = 172635441882624. Its totient is φ = 17580162504960.

The previous prime is 68928259515257. The next prime is 68928259515289. The reversal of 68928259515270 is 7251595282986.

68928259515270 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×689282595152702 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a junction number, because it is equal to n+sod(n) for n = 68928259515195 and 68928259515204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3530730 + ... + 12260610.

It is an arithmetic number, because the mean of its divisors is an integer number (2697428779416).

Almost surely, 268928259515270 is an apocalyptic number.

68928259515270 is an abundant number, since it is smaller than the sum of its proper divisors (103707182367354).

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

68928259515270 is a wasteful number, since it uses less digits than its factorization.

68928259515270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8741357.

The product of its (nonzero) digits is 217728000, while the sum is 69.

The spelling of 68928259515270 in words is "sixty-eight trillion, nine hundred twenty-eight billion, two hundred fifty-nine million, five hundred fifteen thousand, two hundred seventy".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 690 11443 22886 34329 57215 68658 114430 171645 263189 343290 526378 789567 1315945 1579134 2631890 3947835 7895670 8729881 17459762 26189643 43649405 52379286 87298810 130948215 200787263 261896430 401574526 602361789 1003936315 1204723578 2007872630 3011808945 6023617890 99896028283 199792056566 299688084849 499480141415 599376169698 998960282830 1498440424245 2297608650509 2996880848490 4595217301018 6892825951527 11488043252545 13785651903054 22976086505090 34464129757635 68928259515270