Search a number
-
+
56865444440860 = 225111721974540061
BaseRepresentation
bin11001110111000000001001…
…00111011010101100011100
321110100021122121002121120201
430323200010213122230130
524423140412234101420
6320535342522153244
714656251503333416
oct1473400447325434
9243307577077521
1056865444440860
11171345549a92a0
126464aa2352824
132596508419753
1410084333259b6
156893025d510a
hex33b8049dab1c

56865444440860 has 144 divisors (see below), whose sum is σ = 139089993200928. Its totient is φ = 19363174297600.

The previous prime is 56865444440839. The next prime is 56865444440957. The reversal of 56865444440860 is 6804444456865.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 56865444440792 and 56865444440801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10255230 + ... + 14795290.

It is an arithmetic number, because the mean of its divisors is an integer number (965902730562).

Almost surely, 256865444440860 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 56865444440860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69544996600464).

56865444440860 is an abundant number, since it is smaller than the sum of its proper divisors (82224548760068).

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

56865444440860 is a wasteful number, since it uses less digits than its factorization.

56865444440860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4540312 (or 4540293 counting only the distinct ones).

The product of its (nonzero) digits is 353894400, while the sum is 64.

The spelling of 56865444440860 in words is "fifty-six trillion, eight hundred sixty-five billion, four hundred forty-four million, four hundred forty thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 197 220 289 340 374 394 578 748 788 935 985 1156 1445 1870 1970 2167 2890 3179 3349 3740 3940 4334 5780 6358 6698 8668 10835 12716 13396 15895 16745 21670 31790 33490 36839 43340 56933 63580 66980 73678 113866 147356 184195 227732 284665 368390 569330 626263 736780 1138660 1252526 2505052 3131315 4540061 6262630 9080122 12525260 18160244 22700305 45400610 49940671 77181037 90801220 99881342 154362074 199762684 249703355 308724148 385905185 499406710 771810370 848991407 894392017 998813420 1312077629 1543620740 1697982814 1788784034 2624155258 3395965628 3577568068 4244957035 4471960085 5248310516 6560388145 8489914070 8943920170 9838312187 13120776290 14432853919 15204664289 16979828140 17887840340 19676624374 26241552580 28865707838 30409328578 39353248748 49191560935 57731415676 60818657156 72164269595 76023321445 98383121870 144328539190 152046642890 167251307179 196766243740 258479292913 288657078380 304093285780 334502614358 516958585826 669005228716 836256535895 1033917171652 1292396464565 1672513071790 2584792929130 2843272222043 3345026143580 5169585858260 5686544444086 11373088888172 14216361110215 28432722220430 56865444440860