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11774641152 = 21034389137
BaseRepresentation
bin10101111011101001…
…01100010000000000
31010101121001202010110
422331310230100000
5143103302004102
65224215231320
7564533540601
oct127564542000
933347052113
1011774641152
114aa252919a
122347378540
13115856bbb1
147d9b17da8
1548daa786c
hex2bdd2c400

11774641152 has 88 divisors (see below), whose sum is σ = 32113925536. Its totient is φ = 3833561088.

The previous prime is 11774641117. The next prime is 11774641169. The reversal of 11774641152 is 25114647711.

It is a self number, because there is not a number n which added to its sum of digits gives 11774641152.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87528 + ... + 176664.

It is an arithmetic number, because the mean of its divisors is an integer number (364930972).

Almost surely, 211774641152 is an apocalyptic number.

11774641152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11774641152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16056962768).

11774641152 is an abundant number, since it is smaller than the sum of its proper divisors (20339284384).

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

11774641152 is an equidigital number, since it uses as much as digits as its factorization.

11774641152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89203 (or 89185 counting only the distinct ones).

The product of its digits is 47040, while the sum is 39.

The spelling of 11774641152 in words is "eleven billion, seven hundred seventy-four million, six hundred forty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 256 258 344 384 512 516 688 768 1024 1032 1376 1536 2064 2752 3072 4128 5504 8256 11008 16512 22016 33024 44032 66048 89137 132096 178274 267411 356548 534822 713096 1069644 1426192 2139288 2852384 3832891 4278576 5704768 7665782 8557152 11409536 11498673 15331564 17114304 22819072 22997346 30663128 34228608 45638144 45994692 61326256 68457216 91276288 91989384 122652512 136914432 183978768 245305024 273828864 367957536 490610048 735915072 981220096 1471830144 1962440192 2943660288 3924880384 5887320576 11774641152