Search a number
-
+
1294680903642 = 232731132118523
BaseRepresentation
bin10010110101110000111…
…111101100111111011010
311120202210112112100202100
4102311300333230333122
5132203001302404032
62430433532544230
7162352254051000
oct22656077547732
94522715470670
101294680903642
1145a086688395
1218ab02022076
139511b112a49
144693cd82a70
1523a26e8b97c
hex12d70fecfda

1294680903642 has 96 divisors (see below), whose sum is σ = 3271768156800. Its totient is φ = 369856186560.

The previous prime is 1294680903557. The next prime is 1294680903661. The reversal of 1294680903642 is 2463090864921.

1294680903642 is a `hidden beast` number, since 1 + 29 + 468 + 0 + 90 + 36 + 42 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69886593 + ... + 69905115.

It is an arithmetic number, because the mean of its divisors is an integer number (34080918300).

Almost surely, 21294680903642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1294680903642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635884078400).

1294680903642 is an abundant number, since it is smaller than the sum of its proper divisors (1977087253158).

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

1294680903642 is a wasteful number, since it uses less digits than its factorization.

1294680903642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29873 (or 29856 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 1294680903642 in words is "one trillion, two hundred ninety-four billion, six hundred eighty million, nine hundred three thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 343 441 686 882 1029 2058 3087 6174 11321 18523 22642 33963 37046 55569 67926 79247 101889 111138 129661 158494 166707 203778 237741 259322 333414 388983 475482 554729 713223 777966 907627 1109458 1166949 1426446 1664187 1815254 2333898 2722881 3328374 3883103 4992561 5445762 6353389 7766206 8168643 9985122 11649309 12706778 16337286 19060167 23298618 34947927 38120334 57180501 69895854 114361002 209698883 419397766 629096649 1258193298 1467892181 1887289947 2935784362 3774579894 4403676543 8807353086 10275245267 13211029629 20550490534 26422059258 30825735801 61651471602 71926716869 92477207403 143853433738 184954414806 215780150607 431560301214 647340451821 1294680903642