Search a number
-
+
610050000060 = 2232519315754103
BaseRepresentation
bin10001110000010011101…
…00000100010010111100
32011022122102200221210200
420320021310010102330
534443340300000220
61144130400403500
762034415304514
oct10701164042274
92138572627720
10610050000060
112157a2359376
129a294616590
13456b1b030c7
1421752d00844
1510d07305890
hex8e09d044bc

610050000060 has 144 divisors (see below), whose sum is σ = 2010714101760. Its totient is φ = 149146323840.

The previous prime is 610050000059. The next prime is 610050000073. The reversal of 610050000060 is 60000050016.

610050000060 is a `hidden beast` number, since 6 + 100 + 500 + 0 + 0 + 0 + 60 = 666.

It is a super-2 number, since 2×6100500000602 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 610049999988 and 610050000042.

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, 2771032 + ... + 2983071.

Almost surely, 2610050000060 is an apocalyptic number.

610050000060 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

610050000060 is an abundant number, since it is smaller than the sum of its proper divisors (1400664101700).

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

610050000060 is a wasteful number, since it uses less digits than its factorization.

610050000060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5754168 (or 5754163 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 610050000060 its reverse (60000050016), we get a palindrome (670050050076).

The spelling of 610050000060 in words is "six hundred ten billion, fifty million, sixty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 31 36 38 45 57 60 62 76 90 93 95 114 124 155 171 180 186 190 228 279 285 310 342 372 380 465 558 570 589 620 684 855 930 1116 1140 1178 1395 1710 1767 1860 2356 2790 2945 3420 3534 5301 5580 5890 7068 8835 10602 11780 17670 21204 26505 35340 53010 106020 5754103 11508206 17262309 23016412 28770515 34524618 51786927 57541030 69049236 86311545 103573854 109327957 115082060 172623090 178377193 207147708 218655914 258934635 327983871 345246180 356754386 437311828 517869270 535131579 546639785 655967742 713508772 891885965 983951613 1035738540 1070263158 1093279570 1311935484 1605394737 1639919355 1783771930 1967903226 2140526316 2186559140 2675657895 3210789474 3279838710 3389166667 3567543860 3935806452 4919758065 5351315790 6421578948 6559677420 6778333334 8026973685 9839516130 10167500001 10702631580 13556666668 16053947370 16945833335 19679032260 20335000002 30502500003 32107894740 33891666670 40670000004 50837500005 61005000006 67783333340 101675000010 122010000012 152512500015 203350000020 305025000030 610050000060