Search a number
-
+
1076809806648 = 233259277915113
BaseRepresentation
bin11111010101101101101…
…11011011001100111000
310210221102201121212220200
433222312313123030320
5120120301302303043
62142402443122200
7140540231223252
oct17526667331470
93727381555820
101076809806648
11385744077544
12154839513360
137a7094b6684
143a19162acd2
151d024b227d3
hexfab6ddb338

1076809806648 has 96 divisors (see below), whose sum is σ = 2976499796400. Its totient is φ = 351578709504.

The previous prime is 1076809806643. The next prime is 1076809806649. The reversal of 1076809806648 is 8466089086701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1076809806643) 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, 719140 + ... + 1634252.

Almost surely, 21076809806648 is an apocalyptic number.

1076809806648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1076809806648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488249898200).

1076809806648 is an abundant number, since it is smaller than the sum of its proper divisors (1899689989752).

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

1076809806648 is a wasteful number, since it uses less digits than its factorization.

1076809806648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915461 (or 915454 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 1076809806648 in words is "one trillion, seventy-six billion, eight hundred nine million, eight hundred six thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 59 72 118 177 236 277 354 472 531 554 708 831 1062 1108 1416 1662 2124 2216 2493 3324 4248 4986 6648 9972 16343 19944 32686 49029 65372 98058 130744 147087 196116 294174 392232 588348 915113 1176696 1830226 2745339 3660452 5490678 7320904 8236017 10981356 16472034 21962712 32944068 53991667 65888136 107983334 161975001 215966668 253486301 323950002 431933336 485925003 506972602 647900004 760458903 971850006 1013945204 1295800008 1520917806 1943700012 2027890408 2281376709 3041835612 3887400024 4562753418 6083671224 9125506836 14955691759 18251013672 29911383518 44867075277 59822767036 89734150554 119645534072 134601225831 179468301108 269202451662 358936602216 538404903324 1076809806648