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11465386320 = 243547772443
BaseRepresentation
bin10101010110110001…
…11110100101010000
31002121001010222020210
422223120332211100
5141440114330240
65133411004120
7554060114163
oct125330764520
932531128223
1011465386320
114953a03493
12227b899640
13110948077b
147aaa15ada
1547186b780
hex2ab63e950

11465386320 has 40 divisors (see below), whose sum is σ = 35542698336. Its totient is φ = 3057436288.

The previous prime is 11465386319. The next prime is 11465386327. The reversal of 11465386320 is 2368356411.

11465386320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11465386327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23885982 + ... + 23886461.

Almost surely, 211465386320 is an apocalyptic number.

11465386320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11465386320 is an abundant number, since it is smaller than the sum of its proper divisors (24077312016).

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

11465386320 is a wasteful number, since it uses less digits than its factorization.

11465386320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47772459 (or 47772453 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 11465386320 in words is "eleven billion, four hundred sixty-five million, three hundred eighty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 47772443 95544886 143317329 191089772 238862215 286634658 382179544 477724430 573269316 716586645 764359088 955448860 1146538632 1433173290 1910897720 2293077264 2866346580 3821795440 5732693160 11465386320