Search a number
-
+
12364941360673 = 11109503155913151
BaseRepresentation
bin1011001111101110111111…
…1011111111111000100001
31121210002002000122001211001
42303323233323333320201
53110041344442020143
642144213045552001
72414223526261036
oct263735773777041
947702060561731
1012364941360673
113a37a40054610
1214784a9a15601
136b9016915715
1430a67596d38d
15166991a5414d
hexb3eefeffe21

12364941360673 has 32 divisors (see below), whose sum is σ = 13649629593600. Its totient is φ = 11107611432000.

The previous prime is 12364941360637. The next prime is 12364941360703. The reversal of 12364941360673 is 37606314946321.

It is a cyclic number.

It is not a de Polignac number, because 12364941360673 - 237 = 12227502407201 is a prime.

It is a super-3 number, since 3×123649413606733 (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (12364941160673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 940221648 + ... + 940234798.

It is an arithmetic number, because the mean of its divisors is an integer number (426550924800).

Almost surely, 212364941360673 is an apocalyptic number.

It is an amenable number.

12364941360673 is a deficient number, since it is larger than the sum of its proper divisors (1284688232927).

12364941360673 is a wasteful number, since it uses less digits than its factorization.

12364941360673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15333.

The product of its (nonzero) digits is 11757312, while the sum is 55.

The spelling of 12364941360673 in words is "twelve trillion, three hundred sixty-four billion, nine hundred forty-one million, three hundred sixty thousand, six hundred seventy-three".

Divisors: 1 11 109 503 1199 1559 5533 13151 17149 54827 144661 169931 603097 784177 1433459 1869241 6614953 8625947 15768049 20502409 72764483 85475293 225526499 721029877 940228223 2234762581 7931328647 10312711727 24582388391 113439828997 1124085578243 12364941360673