Search a number
-
+
10056666510060 = 2235521769418349
BaseRepresentation
bin1001001001011000000000…
…0010001111001011101100
31022121102000101021020001020
42102112000002033023230
52304232023111310220
633215545133014140
72055366366624402
oct222260002171354
938542011236036
1010056666510060
113228010082815
121165071324350
1357c4550a8a51
1426aa60da9472
151268e4bca040
hex9258008f2ec

10056666510060 has 96 divisors (see below), whose sum is σ = 28249468632000. Its totient is φ = 2673143316480.

The previous prime is 10056666510041. The next prime is 10056666510091. The reversal of 10056666510060 is 6001566665001.

It is a super-2 number, since 2×100566665100602 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10056666509994 and 10056666510021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23829766 + ... + 24248114.

It is an arithmetic number, because the mean of its divisors is an integer number (294265298250).

Almost surely, 210056666510060 is an apocalyptic number.

10056666510060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10056666510060 is an abundant number, since it is smaller than the sum of its proper divisors (18192802121940).

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

10056666510060 is a wasteful number, since it uses less digits than its factorization.

10056666510060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419651 (or 419649 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The spelling of 10056666510060 in words is "ten trillion, fifty-six billion, six hundred sixty-six million, five hundred ten thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 521 769 1042 1538 1563 2084 2307 2605 3076 3126 3845 4614 5210 6252 7690 7815 9228 10420 11535 15380 15630 23070 31260 46140 400649 418349 801298 836698 1201947 1255047 1602596 1673396 2003245 2091745 2403894 2510094 4006490 4183490 4807788 5020188 6009735 6275235 8012980 8366980 12019470 12550470 24038940 25100940 217959829 321710381 435919658 643420762 653879487 871839316 965131143 1089799145 1286841524 1307758974 1608551905 1930262286 2179598290 2615517948 3217103810 3269397435 3860524572 4359196580 4825655715 6434207620 6538794870 9651311430 13077589740 19302622860 167611108501 335222217002 502833325503 670444434004 838055542505 1005666651006 1676111085010 2011333302012 2514166627515 3352222170020 5028333255030 10056666510060