Search a number
-
+
126253723684 = 221123125212
BaseRepresentation
bin111010110010101001…
…1101111000000100100
3110001212211122200122011
41311211103233000210
54032031423124214
6134000011244004
712056453641654
oct1654523570044
9401784580564
10126253723684
11495a8a32300
1220576149604
13bba09ca69a
146179b20364
15343e00aac4
hex1d654ef024

126253723684 has 81 divisors (see below), whose sum is σ = 251425170129. Its totient is φ = 55430232000.

The previous prime is 126253723681. The next prime is 126253723723. The reversal of 126253723684 is 486327352621.

The square root of 126253723684 is 355322.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 36205717284 + 90048006400 = 190278^2 + 300080^2 .

It is not an unprimeable number, because it can be changed into a prime (126253723681) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 242329344 + ... + 242329864.

Almost surely, 2126253723684 is an apocalyptic number.

126253723684 is the 355322-nd square number.

It is an amenable number.

126253723684 is a deficient number, since it is larger than the sum of its proper divisors (125171446445).

126253723684 is an equidigital number, since it uses as much as digits as its factorization.

126253723684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 565 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 49.

Multiplying 126253723684 by its sum of digits (49), we get a square (6186432460516 = 24872542).

The spelling of 126253723684 in words is "one hundred twenty-six billion, two hundred fifty-three million, seven hundred twenty-three thousand, six hundred eighty-four".

Divisors: 1 2 4 11 22 31 44 62 121 124 242 341 484 521 682 961 1042 1364 1922 2084 3751 3844 5731 7502 10571 11462 15004 16151 21142 22924 32302 42284 63041 64604 116281 126082 177661 232562 252164 271441 355322 465124 500681 542882 710644 1001362 1085764 1954271 2002724 2985851 3908542 5507491 5971702 7817084 8414671 11014982 11943404 16829342 22029964 32844361 33658684 60582401 65688722 92561381 121164802 131377444 185122762 242329604 260854801 370245524 521709602 1018175191 1043419204 2036350382 2869402811 4072700764 5738805622 11477611244 31563430921 63126861842 126253723684