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964393393469 = 111321625710607
BaseRepresentation
bin11100000100010100101…
…00110101110100111101
310102012021020022101211012
432002022110311310331
5111300034202042334
62015011453205005
7126450365406362
oct16021224656475
93365236271735
10964393393469
11341aa6a24450
12136aa5490765
136cc324a51ac
1434969554469
151a1458109ce
hexe08a535d3d

964393393469 has 16 divisors (see below), whose sum is σ = 1053129482496. Its totient is φ = 875834995200.

The previous prime is 964393393441. The next prime is 964393393529.

It is a happy number.

964393393469 is nontrivially palindromic in base 10.

964393393469 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-964393393469 is a prime.

It is a super-2 number, since 2×9643933934692 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 964393393399 and 964393393408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (964393398469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90915164 + ... + 90925770.

It is an arithmetic number, because the mean of its divisors is an integer number (65820592656).

Almost surely, 2964393393469 is an apocalyptic number.

It is an amenable number.

964393393469 is a deficient number, since it is larger than the sum of its proper divisors (88736089027).

964393393469 is a wasteful number, since it uses less digits than its factorization.

964393393469 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18196.

The product of its digits is 306110016, while the sum is 68.

The spelling of 964393393469 in words is "nine hundred sixty-four billion, three hundred ninety-three million, three hundred ninety-three thousand, four hundred sixty-nine".

Divisors: 1 11 1321 6257 10607 14531 68827 116677 8265497 14011847 66367999 90920467 154130317 730047989 87672126679 964393393469