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10506218076 = 2234171907447
BaseRepresentation
bin10011100100011100…
…00010101001011100
31000010012022011210000
421302032002221130
5133004042434301
64454304414300
7521232244254
oct116216025134
930105264700
1010506218076
114501539162
122052617390
13cb583b8b3
14719496964
15417553786
hex272382a5c

10506218076 has 60 divisors (see below), whose sum is σ = 29080952208. Its totient is φ = 3296066688.

The previous prime is 10506218071. The next prime is 10506218077. The reversal of 10506218076 is 67081260501.

10506218076 is a `hidden beast` number, since 1 + 0 + 506 + 2 + 1 + 80 + 76 = 666.

It is a super-2 number, since 2×105062180762 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10506218076.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10506218071) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 948216 + ... + 959231.

Almost surely, 210506218076 is an apocalyptic number.

It is an amenable number.

10506218076 is an abundant number, since it is smaller than the sum of its proper divisors (18574734132).

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

10506218076 is a wasteful number, since it uses less digits than its factorization.

10506218076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1907480 (or 1907469 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Adding to 10506218076 its reverse (67081260501), we get a palindrome (77587478577).

It can be divided in two parts, 1050 and 6218076, that added together give a palindrome (6219126).

The spelling of 10506218076 in words is "ten billion, five hundred six million, two hundred eighteen thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 306 324 459 612 918 1377 1836 2754 5508 1907447 3814894 5722341 7629788 11444682 17167023 22889364 32426599 34334046 51501069 64853198 68668092 97279797 103002138 129706396 154503207 194559594 206004276 291839391 309006414 389119188 583678782 618012828 875518173 1167357564 1751036346 2626554519 3502072692 5253109038 10506218076