Search a number
-
+
45165426113322 = 23231809934110711
BaseRepresentation
bin10100100010011111001010…
…01011011111101100101010
312220220202212012110101212200
422101033211023133230222
521404442243041111242
6240020413232321030
712341044235421354
oct1221174513375452
9186822765411780
1045165426113322
1113433605642a69
1250954419a3176
131c28109b0c688
14b220382780d4
15534cca45304c
hex2913e52dfb2a

45165426113322 has 96 divisors (see below), whose sum is σ = 101160281963520. Its totient is φ = 14548566816000.

The previous prime is 45165426113317. The next prime is 45165426113329. The reversal of 45165426113322 is 22331162456154.

45165426113322 is a `hidden beast` number, since 4 + 5 + 1 + 6 + 5 + 4 + 2 + 611 + 3 + 3 + 22 = 666.

It is not an unprimeable number, because it can be changed into a prime (45165426113329) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4216727547 + ... + 4216738257.

It is an arithmetic number, because the mean of its divisors is an integer number (1053752937120).

Almost surely, 245165426113322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45165426113322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50580140981760).

45165426113322 is an abundant number, since it is smaller than the sum of its proper divisors (55994855850198).

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

45165426113322 is a wasteful number, since it uses less digits than its factorization.

45165426113322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20900 (or 20897 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

Adding to 45165426113322 its reverse (22331162456154), we get a palindrome (67496588569476).

The spelling of 45165426113322 in words is "forty-five trillion, one hundred sixty-five billion, four hundred twenty-six million, one hundred thirteen thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 809 1618 2427 4854 7281 9341 10711 14562 18682 21422 25079 28023 32133 50158 56046 64266 75237 84069 96399 150474 168138 192798 225711 289571 332041 451422 579142 664082 868713 996123 1737426 1992246 2606139 2988369 5212278 5976738 7556869 8665199 15113738 17330398 22670607 25995597 45341214 51991194 68011821 77986791 100051451 136023642 155973582 200102902 234262939 268621169 300154353 468525878 537242338 600308706 702788817 805863507 900463059 1405577634 1611727014 1800926118 2108366451 2417590521 3101594981 4216732902 4835181042 6203189962 9304784943 18609569886 27914354829 55828709658 80941623859 161883247718 242824871577 485649743154 728474614731 1456949229462 2509190339629 5018380679258 7527571018887 15055142037774 22582713056661 45165426113322