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11451670668 = 22322713117251
BaseRepresentation
bin10101010101001001…
…01010000010001100
31002120002100010220200
422222210222002030
5141423111430133
65132201013500
7553532410644
oct125244520214
932502303820
1011451670668
114947195739
122277184290
13110668a8b9
147a8c85524
1547055c913
hex2aa92a08c

11451670668 has 36 divisors (see below), whose sum is σ = 28958195448. Its totient is φ = 3815784000.

The previous prime is 11451670663. The next prime is 11451670687. The reversal of 11451670668 is 86607615411.

11451670668 is a `hidden beast` number, since 1 + 1 + 4 + 516 + 70 + 6 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×114516706682 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11451670663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39043 + ... + 156293.

It is an arithmetic number, because the mean of its divisors is an integer number (804394318).

Almost surely, 211451670668 is an apocalyptic number.

11451670668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11451670668 is an abundant number, since it is smaller than the sum of its proper divisors (17506524780).

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

11451670668 is a wasteful number, since it uses less digits than its factorization.

11451670668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119974 (or 119969 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 11451670668 in words is "eleven billion, four hundred fifty-one million, six hundred seventy thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 2713 5426 8139 10852 16278 24417 32556 48834 97668 117251 234502 351753 469004 703506 1055259 1407012 2110518 4221036 318101963 636203926 954305889 1272407852 1908611778 2862917667 3817223556 5725835334 11451670668