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11089149952 = 216414127
BaseRepresentation
bin10100101001111011…
…10000000000000000
31001121211012011222111
422110331300000000
5140202310244302
65032210545104
7541541135146
oct122475600000
931554164874
1011089149952
114780599541
122195898194
13107953c6ba
14772a79596
1544d7ee0d7
hex294f70000

11089149952 has 68 divisors (see below), whose sum is σ = 22724565696. Its totient is φ = 5408030720.

The previous prime is 11089149947. The next prime is 11089149959. The reversal of 11089149952 is 25994198011.

It is a junction number, because it is equal to n+sod(n) for n = 11089149896 and 11089149905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11089149959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2684913 + ... + 2689039.

Almost surely, 211089149952 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 11089149952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11362282848).

11089149952 is an abundant number, since it is smaller than the sum of its proper divisors (11635415744).

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

11089149952 is an frugal number, since it uses more digits than its factorization.

11089149952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4200 (or 4170 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 49.

The spelling of 11089149952 in words is "eleven billion, eighty-nine million, one hundred forty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 512 656 1024 1312 2048 2624 4096 4127 5248 8192 8254 10496 16384 16508 20992 32768 33016 41984 65536 66032 83968 132064 167936 169207 264128 335872 338414 528256 671744 676828 1056512 1343488 1353656 2113024 2686976 2707312 4226048 5414624 8452096 10829248 16904192 21658496 33808384 43316992 67616768 86633984 135233536 173267968 270467072 346535936 693071872 1386143744 2772287488 5544574976 11089149952