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10556505813252 = 2237289201721811
BaseRepresentation
bin1001100110011110000011…
…0001110111000100000100
31101101012012001002200201010
42121213200301313010010
52340424210442011002
634241331500002220
72136453024613200
oct231474061670404
941335161080633
1010556505813252
1133aaa97362333
121225b08530370
135b7621b50b49
14286d1ab1bb00
151348eb66946c
hex999e0c77104

10556505813252 has 72 divisors (see below), whose sum is σ = 28975321075680. Its totient is φ = 2982255239040.

The previous prime is 10556505813233. The next prime is 10556505813253. The reversal of 10556505813252 is 25231850565501.

It is a super-2 number, since 2×105565058132522 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10556505813253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100808574 + ... + 100913237.

It is an arithmetic number, because the mean of its divisors is an integer number (402435014940).

Almost surely, 210556505813252 is an apocalyptic number.

10556505813252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10556505813252 is an abundant number, since it is smaller than the sum of its proper divisors (18418815262428).

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

10556505813252 is a wasteful number, since it uses less digits than its factorization.

10556505813252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201721921 (or 201721912 counting only the distinct ones).

The product of its (nonzero) digits is 1800000, while the sum is 48.

The spelling of 10556505813252 in words is "ten trillion, five hundred fifty-six billion, five hundred five million, eight hundred thirteen thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 89 98 147 178 196 267 294 356 534 588 623 1068 1246 1869 2492 3738 4361 7476 8722 13083 17444 26166 52332 201721811 403443622 605165433 806887244 1210330866 1412052677 2420661732 2824105354 4236158031 5648210708 8472316062 9884368739 16944632124 17953241179 19768737478 29653106217 35906482358 39537474956 53859723537 59306212434 71812964716 107719447074 118612424868 125672688253 215438894148 251345376506 377018064759 502690753012 754036129518 879708817771 1508072259036 1759417635542 2639126453313 3518835271084 5278252906626 10556505813252