Search a number
-
+
4920652147860 = 22325283940310273
BaseRepresentation
bin100011110011010110110…
…1110010010110010010100
3122102102001201010121002200
41013212231232102302110
51121104443422212420
614244303312404500
71015335230101221
oct107465556226224
918372051117080
104920652147860
111627922946859
126757a4546730
132990280b5c77
1413023748a948
1587ee6621b90
hex479adb92c94

4920652147860 has 144 divisors (see below), whose sum is σ = 14981771348544. Its totient is φ = 1307270928384.

The previous prime is 4920652147849. The next prime is 4920652147861. The reversal of 4920652147860 is 687412560294.

4920652147860 is a `hidden beast` number, since 4 + 92 + 0 + 6 + 5 + 21 + 478 + 60 = 666.

It is a super-3 number, since 3×49206521478603 (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4920652147797 and 4920652147806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4920652147861) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 478983684 + ... + 478993956.

Almost surely, 24920652147860 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 4920652147860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7490885674272).

4920652147860 is an abundant number, since it is smaller than the sum of its proper divisors (10061119200684).

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

4920652147860 is a wasteful number, since it uses less digits than its factorization.

4920652147860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19974 (or 19969 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 4920652147860 in words is "four trillion, nine hundred twenty billion, six hundred fifty-two million, one hundred forty-seven thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 283 566 849 1132 1415 1698 2547 2830 3396 4245 5094 5660 8490 9403 10188 10273 12735 16980 18806 20546 25470 28209 30819 37612 41092 47015 50940 51365 56418 61638 84627 92457 94030 102730 112836 123276 141045 154095 169254 184914 188060 205460 282090 308190 338508 369828 423135 462285 564180 616380 846270 924570 1692540 1849140 2661049 2907259 5322098 5814518 7983147 8721777 10644196 11629036 13305245 14536295 15966294 17443554 23949441 26165331 26610490 29072590 31932588 34887108 39915735 43608885 47898882 52330662 53220980 58145180 79831470 87217770 95797764 96597019 104661324 119747205 130826655 159662940 174435540 193194038 239494410 261653310 289791057 386388076 478988820 482985095 523306620 579582114 869373171 965970190 1159164228 1448955285 1738746342 1931940380 2897910570 3477492684 4346865855 5795821140 8693731710 17387463420 27336956377 54673912754 82010869131 109347825508 136684781885 164021738262 246032607393 273369563770 328043476524 410054345655 492065214786 546739127540 820108691310 984130429572 1230163036965 1640217382620 2460326073930 4920652147860