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11811069952 = 21311131071
BaseRepresentation
bin10101111111111111…
…01010000000000000
31010111010121112001021
422333333222000000
5143142113214302
65232000115224
7565455303163
oct127777520000
933433545037
1011811069952
11501104a740
122357605b14
131162c850b6
148008bbada
15491da1437
hex2bffea000

11811069952 has 56 divisors (see below), whose sum is σ = 25768230912. Its totient is φ = 5368627200.

The previous prime is 11811069947. The next prime is 11811069961. The reversal of 11811069952 is 25996011811.

11811069952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×118110699522 (a number of 21 digits) contains 22 as substring.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 11811069899 and 11811069908.

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 3 ways as a sum of consecutive naturals, for example, 24577 + ... + 155647.

Almost surely, 211811069952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11811069952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12884115456).

11811069952 is an abundant number, since it is smaller than the sum of its proper divisors (13957160960).

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

11811069952 is an equidigital number, since it uses as much as digits as its factorization.

11811069952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131108 (or 131084 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 43.

The spelling of 11811069952 in words is "eleven billion, eight hundred eleven million, sixty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2048 2816 4096 5632 8192 11264 22528 45056 90112 131071 262142 524284 1048568 1441781 2097136 2883562 4194272 5767124 8388544 11534248 16777088 23068496 33554176 46136992 67108352 92273984 134216704 184547968 268433408 369095936 536866816 738191872 1073733632 1476383744 2952767488 5905534976 11811069952