Search a number
-
+
431563045050 = 23252312997949
BaseRepresentation
bin1100100011110110010…
…10010111100010111010
31112020221101000012002100
412101323022113202322
524032320114420200
6530131325444230
743115351233344
oct6217312274272
91466841005070
10431563045050
111570300a72a5
126b781710676
133190879a667
1416c60042294
15b35c871d00
hex647b2978ba

431563045050 has 108 divisors (see below), whose sum is σ = 1198075899150. Its totient is φ = 111370996800.

The previous prime is 431563045021. The next prime is 431563045127. The reversal of 431563045050 is 50540365134.

431563045050 is a `hidden beast` number, since 4 + 3 + 1 + 563 + 0 + 45 + 0 + 50 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 275413990401 + 156149054649 = 524799^2 + 395157^2 .

It is a junction number, because it is equal to n+sod(n) for n = 431563044996 and 431563045014.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 66525 + ... + 931424.

Almost surely, 2431563045050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431563045050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599037949575).

431563045050 is an abundant number, since it is smaller than the sum of its proper divisors (766512854100).

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

431563045050 is a wasteful number, since it uses less digits than its factorization.

431563045050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998029 (or 997990 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 431563045050 in words is "four hundred thirty-one billion, five hundred sixty-three million, forty-five thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 31 45 50 62 75 90 93 150 155 186 225 279 310 450 465 558 775 930 961 1395 1550 1922 2325 2790 2883 4650 4805 5766 6975 8649 9610 13950 14415 17298 24025 28830 43245 48050 72075 86490 144150 216225 432450 997949 1995898 2993847 4989745 5987694 8981541 9979490 14969235 17963082 24948725 29938470 30936419 44907705 49897450 61872838 74846175 89815410 92809257 149692350 154682095 185618514 224538525 278427771 309364190 449077050 464046285 556855542 773410475 928092570 959028989 1392138855 1546820950 1918057978 2320231425 2784277710 2877086967 4640462850 4795144945 5754173934 6960694275 8631260901 9590289890 13921388550 14385434835 17262521802 23975724725 28770869670 43156304505 47951449450 71927174175 86312609010 143854348350 215781522525 431563045050