Search a number
-
+
1084863997668 = 2231131284393253
BaseRepresentation
bin11111100100101101110…
…11101110011011100100
310211201020001000011220210
433302112323232123210
5120233300140411133
62150214000255420
7141243640554603
oct17622673563344
93751201004823
101084863997668
113890a7498460
12156306911570
137b3c1021689
143a71719da3a
151d346c74763
hexfc96eee6e4

1084863997668 has 96 divisors (see below), whose sum is σ = 2851584970752. Its totient is φ = 318026620800.

The previous prime is 1084863997661. The next prime is 1084863997691. The reversal of 1084863997668 is 8667993684801.

It is a self number, because there is not a number n which added to its sum of digits gives 1084863997668.

It is not an unprimeable number, because it can be changed into a prime (1084863997661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11586930 + ... + 11680182.

It is an arithmetic number, because the mean of its divisors is an integer number (29704010112).

Almost surely, 21084863997668 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 1084863997668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425792485376).

1084863997668 is an abundant number, since it is smaller than the sum of its proper divisors (1766720973084).

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

1084863997668 is a wasteful number, since it uses less digits than its factorization.

1084863997668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96145 (or 96143 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 75.

The spelling of 1084863997668 in words is "one trillion, eighty-four billion, eight hundred sixty-three million, nine hundred ninety-seven thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 682 1023 1364 2046 2843 4092 5686 8529 11372 17058 31273 34116 62546 88133 93253 93819 125092 176266 186506 187638 264399 279759 352532 373012 375276 528798 559518 969463 1025783 1057596 1119036 1938926 2051566 2890843 2908389 3077349 3877852 4103132 5781686 5816778 6154698 8672529 11563372 11633556 12309396 17345058 31799273 34690116 63598546 95397819 127197092 190795638 265118279 381591276 530236558 795354837 1060473116 1590709674 2916301069 3181419348 5832602138 8218666649 8748903207 11665204276 16437333298 17497806414 24655999947 32874666596 34995612828 49311999894 90405333139 98623999788 180810666278 271215999417 361621332556 542431998834 1084863997668