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11027251044 = 22322937285473
BaseRepresentation
bin10100100010100011…
…00111111101100100
31001110111201101122100
422101101213331210
5140040434013134
65022120132100
7540160041645
oct122121477544
931414641570
1011027251044
114749660a17
122179007030
131069779324
147687656cc
15448173999
hex291467f64

11027251044 has 72 divisors (see below), whose sum is σ = 29615072760. Its totient is φ = 3453069312.

The previous prime is 11027250977. The next prime is 11027251051. The reversal of 11027251044 is 44015272011.

11027251044 is a `hidden beast` number, since 1 + 102 + 7 + 2 + 510 + 44 = 666.

11027251044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6329793600 + 4697457444 = 79560^2 + 68538^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11027250999 and 11027251017.

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, 104109 + ... + 181364.

It is an arithmetic number, because the mean of its divisors is an integer number (411320455).

Almost surely, 211027251044 is an apocalyptic number.

It is an amenable number.

11027251044 is an abundant number, since it is smaller than the sum of its proper divisors (18587821716).

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

11027251044 is a wasteful number, since it uses less digits than its factorization.

11027251044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285549 (or 285544 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

It can be divided in two parts, 1102725 and 1044, that multiplied together give a square (1151244900 = 339302).

The spelling of 11027251044 in words is "eleven billion, twenty-seven million, two hundred fifty-one thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 37 58 74 87 111 116 148 174 222 261 333 348 444 522 666 1044 1073 1332 2146 3219 4292 6438 9657 12876 19314 38628 285473 570946 856419 1141892 1712838 2569257 3425676 5138514 8278717 10277028 10562501 16557434 21125002 24836151 31687503 33114868 42250004 49672302 63375006 74508453 95062509 99344604 126750012 149016906 190125018 298033812 306312529 380250036 612625058 918937587 1225250116 1837875174 2756812761 3675750348 5513625522 11027251044