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11465330016 = 253717061503
BaseRepresentation
bin10101010110110001…
…10000110101100000
31002121001001010000110
422223120300311200
5141440111030031
65133405451320
7554056461060
oct125330606540
932531033013
1011465330016
114953975158
12227b870b40
131109460c5a
147aa9dd3a0
15471859c46
hex2ab630d60

11465330016 has 48 divisors (see below), whose sum is σ = 34395992064. Its totient is φ = 3275808384.

The previous prime is 11465329987. The next prime is 11465330021. The reversal of 11465330016 is 61003356411.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×114653300163 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

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, 8530080 + ... + 8531423.

It is an arithmetic number, because the mean of its divisors is an integer number (716583168).

Almost surely, 211465330016 is an apocalyptic number.

11465330016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11465330016 is an abundant number, since it is smaller than the sum of its proper divisors (22930662048).

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

11465330016 is a wasteful number, since it uses less digits than its factorization.

11465330016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17061523 (or 17061515 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

Adding to 11465330016 its reverse (61003356411), we get a palindrome (72468686427).

The spelling of 11465330016 in words is "eleven billion, four hundred sixty-five million, three hundred thirty thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 17061503 34123006 51184509 68246012 102369018 119430521 136492024 204738036 238861042 272984048 358291563 409476072 477722084 545968096 716583126 818952144 955444168 1433166252 1637904288 1910888336 2866332504 3821776672 5732665008 11465330016