Search a number
-
+
10610555005053 = 326164138897753
BaseRepresentation
bin1001101001100111011001…
…0111001010100001111101
31101120100200211012010020200
42122121312113022201331
52342320404040130203
634322231025434113
72143405305302643
oct232316627124175
941510624163220
1010610555005053
113420a02758093
12123449149b939
135bc756776843
142897a7129193
1513601174e9a3
hex9a6765ca87d

10610555005053 has 48 divisors (see below), whose sum is σ = 15607935723120. Its totient is φ = 6944204390400.

The previous prime is 10610555005051. The next prime is 10610555005087. The reversal of 10610555005053 is 35050055501601.

10610555005053 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 0 + 5 + 550 + 0 + 50 + 53 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1664456059044 + 8946098946009 = 1290138^2 + 2991003^2 .

It is not a de Polignac number, because 10610555005053 - 21 = 10610555005051 is a prime.

It is a super-2 number, since 2×106105550050532 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10610555004999 and 10610555005017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10610555005051) 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, 1368570225 + ... + 1368577977.

It is an arithmetic number, because the mean of its divisors is an integer number (325165327565).

Almost surely, 210610555005053 is an apocalyptic number.

It is an amenable number.

10610555005053 is a deficient number, since it is larger than the sum of its proper divisors (4997380718067).

10610555005053 is a wasteful number, since it uses less digits than its factorization.

10610555005053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12350 (or 12347 counting only the distinct ones).

The product of its (nonzero) digits is 56250, while the sum is 36.

The spelling of 10610555005053 in words is "ten trillion, six hundred ten billion, five hundred fifty-five million, five thousand, fifty-three".

Divisors: 1 3 9 61 183 549 641 1923 3889 5769 7753 11667 23259 35001 39101 69777 117303 237229 351909 472933 711687 1418799 2135061 2492849 4256397 4969673 7478547 14909019 22435641 30151417 44727057 90454251 152063789 271362753 303150053 456191367 909450159 1368574101 1839236437 2728350477 5517709311 16553127933 19327058297 57981174891 173943524673 1178950556117 3536851668351 10610555005053