Search a number
-
+
85838758007676 = 223315333191311769
BaseRepresentation
bin10011100001000111100100…
…101011011101001101111100
3102020221002211122010200100120
4103201013210223131031330
542222340234022221201
6502321440412054540
724036434305243452
oct2341074453351574
9366832748120316
1085838758007676
11253950160a11a3
129764162464450
1338b873884a5ab
14172a891d2c9d2
159dcce2da1536
hex4e11e4add37c

85838758007676 has 96 divisors (see below), whose sum is σ = 210716016537600. Its totient is φ = 27159264437760.

The previous prime is 85838758007657. The next prime is 85838758007677. The reversal of 85838758007676 is 67670085783858.

It is a super-2 number, since 2×858387580076762 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85838758007677) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64781520 + ... + 66093288.

It is an arithmetic number, because the mean of its divisors is an integer number (2194958505600).

Almost surely, 285838758007676 is an apocalyptic number.

It is an amenable number.

85838758007676 is an abundant number, since it is smaller than the sum of its proper divisors (124877258529924).

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

85838758007676 is a wasteful number, since it uses less digits than its factorization.

85838758007676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315179 (or 1315177 counting only the distinct ones).

The product of its (nonzero) digits is 3793305600, while the sum is 78.

The spelling of 85838758007676 in words is "eighty-five trillion, eight hundred thirty-eight billion, seven hundred fifty-eight million, seven thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 12 31 53 62 93 106 124 159 186 212 318 372 636 1643 3286 3319 4929 6572 6638 9858 9957 13276 19716 19914 39828 102889 175907 205778 308667 351814 411556 527721 617334 703628 1055442 1234668 1311769 2110884 2623538 3935307 5247076 5453117 7870614 10906234 15741228 16359351 21812468 32718702 40664839 65437404 69523757 81329678 121994517 139047514 162659356 208571271 243989034 278095028 417142542 487978068 834285084 2155236467 4310472934 4353761311 6465709401 8620945868 8707522622 12931418802 13061283933 17415045244 25862837604 26122567866 52245135732 134966600641 230749349483 269933201282 404899801923 461498698966 539866402564 692248048449 809799603846 922997397932 1384496096898 1619599207692 2768992193796 7153229833973 14306459667946 21459689501919 28612919335892 42919379003838 85838758007676