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104456069406 = 232133119877247
BaseRepresentation
bin110000101001000010…
…0010010000100011110
3100222121201112010022100
41201102010102010132
53202411223210111
6115553024025530
710355342640333
oct1412204220436
9328551463270
10104456069406
1140332800a97
12182b21622a6
139b08a745c0
1450acbb298a
152ab554b756
hex185211211e

104456069406 has 96 divisors (see below), whose sum is σ = 251754467328. Its totient is φ = 31083600960.

The previous prime is 104456069401. The next prime is 104456069423. The reversal of 104456069406 is 604960654401.

It is a happy number.

104456069406 is a `hidden beast` number, since 1 + 0 + 44 + 560 + 6 + 9 + 40 + 6 = 666.

104456069406 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1044560694062 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104456069401) 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 47 ways as a sum of consecutive naturals, for example, 14410075 + ... + 14417321.

It is an arithmetic number, because the mean of its divisors is an integer number (2622442368).

Almost surely, 2104456069406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104456069406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125877233664).

104456069406 is an abundant number, since it is smaller than the sum of its proper divisors (147298397922).

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

104456069406 is a wasteful number, since it uses less digits than its factorization.

104456069406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9286 (or 9283 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 104456069406 in words is "one hundred four billion, four hundred fifty-six million, sixty-nine thousand, four hundred six".

Divisors: 1 2 3 6 9 13 18 26 31 39 62 78 93 117 186 234 279 403 558 806 1209 1987 2418 3627 3974 5961 7247 7254 11922 14494 17883 21741 25831 35766 43482 51662 61597 65223 77493 94211 123194 130446 154986 184791 188422 224657 232479 282633 369582 449314 464958 554373 565266 673971 800761 847899 1108746 1347942 1601522 1695798 2021913 2402283 2920541 4043826 4804566 5841082 7206849 8761623 14399789 14413698 17523246 26284869 28799578 43199367 52569738 86398734 129598101 187197257 259196202 374394514 446393459 561591771 892786918 1123183542 1339180377 1684775313 2678360754 3369550626 4017541131 5803114967 8035082262 11606229934 17409344901 34818689802 52228034703 104456069406