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964418013 = 32138242889
BaseRepresentation
bin111001011110111…
…101100111011101
32111012201111210200
4321132331213131
53433342334023
6235410454113
732620263216
oct7136754735
92435644720
10964418013
11455430589
1222ab94339
13124a5c560
149212840d
1559a03743
hex397bd9dd

964418013 has 12 divisors (see below), whose sum is σ = 1500205980. Its totient is φ = 593487936.

The previous prime is 964418011. The next prime is 964418023. The reversal of 964418013 is 310814469.

964418013 is a `hidden beast` number, since 9 + 644 + 1 + 8 + 0 + 1 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 397882809 + 566535204 = 19947^2 + 23802^2 .

It is not a de Polignac number, because 964418013 - 21 = 964418011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (964418011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4121328 + ... + 4121561.

It is an arithmetic number, because the mean of its divisors is an integer number (125017165).

Almost surely, 2964418013 is an apocalyptic number.

It is an amenable number.

964418013 is a deficient number, since it is larger than the sum of its proper divisors (535787967).

964418013 is a wasteful number, since it uses less digits than its factorization.

964418013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8242908 (or 8242905 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 964418013 is about 31055.0803090251. The cubic root of 964418013 is about 987.9958137830.

The spelling of 964418013 in words is "nine hundred sixty-four million, four hundred eighteen thousand, thirteen".

Divisors: 1 3 9 13 39 117 8242889 24728667 74186001 107157557 321472671 964418013