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10520414255556 = 2234291119669461
BaseRepresentation
bin1001100100010111100110…
…0011011111100111000100
31101020202000202110121010000
42121011321203133213010
52334331302022134211
634213002300401300
72134034446465002
oct231057143374704
941222022417100
1010520414255556
1133967566428a7
12121ab15546230
135b40bc74404a
1428529566da72
151339d7d6e656
hex991798df9c4

10520414255556 has 60 divisors (see below), whose sum is σ = 28450801029420. Its totient is φ = 3385880447040.

The previous prime is 10520414255551. The next prime is 10520414255573. The reversal of 10520414255556 is 65555241402501.

It is a happy number.

10520414255556 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 0 + 4 + 1 + 42 + 55 + 556 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7729456436100 + 2790957819456 = 2780190^2 + 1670616^2 .

It is a super-2 number, since 2×105204142555562 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10520414255551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 559825335 + ... + 559844126.

It is an arithmetic number, because the mean of its divisors is an integer number (474180017157).

Almost surely, 210520414255556 is an apocalyptic number.

It is an amenable number.

10520414255556 is an abundant number, since it is smaller than the sum of its proper divisors (17930386773864).

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

10520414255556 is a wasteful number, since it uses less digits than its factorization.

10520414255556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119669506 (or 1119669495 counting only the distinct ones).

The product of its (nonzero) digits is 1200000, while the sum is 45.

The spelling of 10520414255556 in words is "ten trillion, five hundred twenty billion, four hundred fourteen million, two hundred fifty-five thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 522 783 1044 1566 2349 3132 4698 9396 1119669461 2239338922 3359008383 4478677844 6718016766 10077025149 13436033532 20154050298 30231075447 32470414369 40308100596 60462150894 64940828738 90693226341 97411243107 120924301788 129881657476 181386452682 194822486214 292233729321 362772905364 389644972428 584467458642 876701187963 1168934917284 1753402375926 2630103563889 3506804751852 5260207127778 10520414255556