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11465417412 = 2232318483817
BaseRepresentation
bin10101010110110010…
…00110001011000100
31002121001012112220100
422223121012023010
5141440121324122
65133411404100
7554060303631
oct125331061304
932531175810
1011465417412
114953a24889
12227b8b3630
131109491977
147aaa23188
15471875aac
hex2ab6462c4

11465417412 has 18 divisors (see below), whose sum is σ = 28982027438. Its totient is φ = 3821805792.

The previous prime is 11465417393. The next prime is 11465417413. The reversal of 11465417412 is 21471456411.

11465417412 is a `hidden beast` number, since 1 + 1 + 46 + 541 + 74 + 1 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5915763396 + 5549654016 = 76914^2 + 74496^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 318483817 = 11465417412 / (1 + 1 + 4 + 6 + 5 + 4 + 1 + 7 + 4 + 1 + 2).

It is not an unprimeable number, because it can be changed into a prime (11465417413) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 159241873 + ... + 159241944.

Almost surely, 211465417412 is an apocalyptic number.

11465417412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11465417412 is an abundant number, since it is smaller than the sum of its proper divisors (17516610026).

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

11465417412 is a wasteful number, since it uses less digits than its factorization.

11465417412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318483827 (or 318483822 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The spelling of 11465417412 in words is "eleven billion, four hundred sixty-five million, four hundred seventeen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 318483817 636967634 955451451 1273935268 1910902902 2866354353 3821805804 5732708706 11465417412