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11005526412 = 22321312333657
BaseRepresentation
bin10100011111111101…
…10000000110001100
31001101222211200001100
422033332300012030
5140014403321122
65020022343100
7536504300556
oct121776600614
931358750040
1011005526412
114738372981
12217188aa90
131065110c0a
1476590c4d6
154462d1aac
hex28ffb018c

11005526412 has 36 divisors (see below), whose sum is σ = 28031899896. Its totient is φ = 3640503360.

The previous prime is 11005526401. The next prime is 11005526417. The reversal of 11005526412 is 21462550011.

11005526412 is a `hidden beast` number, since 1 + 10 + 0 + 5 + 5 + 2 + 641 + 2 = 666.

11005526412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×110055264122 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11005526417) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1162113 + ... + 1171544.

It is an arithmetic number, because the mean of its divisors is an integer number (778663886).

Almost surely, 211005526412 is an apocalyptic number.

11005526412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11005526412 is an abundant number, since it is smaller than the sum of its proper divisors (17026373484).

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

11005526412 is a wasteful number, since it uses less digits than its factorization.

11005526412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2333798 (or 2333793 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 11005526412 in words is "eleven billion, five million, five hundred twenty-six thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 131 262 393 524 786 1179 1572 2358 4716 2333657 4667314 7000971 9334628 14001942 21002913 28003884 42005826 84011652 305709067 611418134 917127201 1222836268 1834254402 2751381603 3668508804 5502763206 11005526412