Search a number
-
+
1085066704296 = 2332101199749807
BaseRepresentation
bin11111100101000110000…
…00111111010110101000
310211201202011102202010200
433302203000333112220
5120234204034014141
62150250041112200
7141251651544201
oct17624300772650
93751664382120
101085066704296
113891a09599a3
12156362788660
137b424015923
143a7360885a8
151d359965ab6
hexfca303f5a8

1085066704296 has 96 divisors (see below), whose sum is σ = 2982736224000. Its totient is φ = 356307811200.

The previous prime is 1085066704283. The next prime is 1085066704297. The reversal of 1085066704296 is 6924076605801.

1085066704296 is a `hidden beast` number, since 1 + 0 + 8 + 506 + 6 + 7 + 0 + 42 + 96 = 666.

It is not an unprimeable number, because it can be changed into a prime (1085066704297) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1072225 + ... + 1822031.

It is an arithmetic number, because the mean of its divisors is an integer number (31070169000).

Almost surely, 21085066704296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1085066704296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491368112000).

1085066704296 is an abundant number, since it is smaller than the sum of its proper divisors (1897669519704).

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

1085066704296 is a wasteful number, since it uses less digits than its factorization.

1085066704296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750119 (or 750112 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 1085066704296 in words is "one trillion, eighty-five billion, sixty-six million, seven hundred four thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 199 202 303 398 404 597 606 796 808 909 1194 1212 1592 1791 1818 2388 2424 3582 3636 4776 7164 7272 14328 20099 40198 60297 80396 120594 160792 180891 241188 361782 482376 723564 749807 1447128 1499614 2249421 2999228 4498842 5998456 6748263 8997684 13496526 17995368 26993052 53986104 75730507 149211593 151461014 227191521 298423186 302922028 447634779 454383042 596846372 605844056 681574563 895269558 908766084 1193692744 1342904337 1363149126 1790539116 1817532168 2685808674 2726298252 3581078232 5371617348 5452596504 10743234696 15070370893 30140741786 45211112679 60281483572 90422225358 120562967144 135633338037 180844450716 271266676074 361688901432 542533352148 1085066704296