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11202089860152 = 23322311701578117
BaseRepresentation
bin1010001100000011000010…
…0101100011110000111000
31110122220112220101020222200
42203000300211203300320
52432013340001011102
635454100302350200
72234216141513142
oct243006045436070
943586486336880
1011202089860152
113629863762a64
12130b05928b360
136334776c0969
142aa281023c92
151465d334151c
hexa3030963c38

11202089860152 has 96 divisors (see below), whose sum is σ = 31660840392480. Its totient is φ = 3571369401600.

The previous prime is 11202089860141. The next prime is 11202089860183. The reversal of 11202089860152 is 25106898020211.

11202089860152 is a `hidden beast` number, since 1 + 12 + 0 + 20 + 8 + 9 + 8 + 601 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11202089860098 and 11202089860107.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 19087798 + ... + 19665914.

It is an arithmetic number, because the mean of its divisors is an integer number (329800420755).

Almost surely, 211202089860152 is an apocalyptic number.

11202089860152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11202089860152 is an abundant number, since it is smaller than the sum of its proper divisors (20458750532328).

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

11202089860152 is a wasteful number, since it uses less digits than its factorization.

11202089860152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589853 (or 589846 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 11202089860152 in words is "eleven trillion, two hundred two billion, eighty-nine million, eight hundred sixty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1656 11701 23402 35103 46804 70206 93608 105309 140412 210618 269123 280824 421236 538246 578117 807369 842472 1076492 1156234 1614738 1734351 2152984 2312468 2422107 3229476 3468702 4624936 4844214 5203053 6458952 6937404 9688428 10406106 13296691 13874808 19376856 20812212 26593382 39890073 41624424 53186764 79780146 106373528 119670219 159560292 239340438 319120584 478680876 957361752 6764547017 13529094034 20293641051 27058188068 40587282102 54116376136 60880923153 81174564204 121761846306 155584581391 162349128408 243523692612 311169162782 466753744173 487047385224 622338325564 933507488346 1244676651128 1400261232519 1867014976692 2800522465038 3734029953384 5601044930076 11202089860152