Search a number
-
+
11078660010 = 235112313910501
BaseRepresentation
bin10100101000101011…
…01110111110101010
31001121002110020111010
422110111232332222
5140142114110020
65031154044350
7541353025215
oct122425567652
931532406433
1011078660010
114775684270
1221922796b6
131077308b32
1477150877c
1544c92ade0
hex29456efaa

11078660010 has 128 divisors (see below), whose sum is σ = 30487726080. Its totient is φ = 2550240000.

The previous prime is 11078660009. The next prime is 11078660017. The reversal of 11078660010 is 1006687011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 11078660010.

It is not an unprimeable number, because it can be changed into a prime (11078660017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1049760 + ... + 1060260.

It is an arithmetic number, because the mean of its divisors is an integer number (238185360).

Almost surely, 211078660010 is an apocalyptic number.

11078660010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11078660010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15243863040).

11078660010 is an abundant number, since it is smaller than the sum of its proper divisors (19409066070).

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

11078660010 is a wasteful number, since it uses less digits than its factorization.

11078660010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10684.

The product of its (nonzero) digits is 2016, while the sum is 30.

The spelling of 11078660010 in words is "eleven billion, seventy-eight million, six hundred sixty thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 46 55 66 69 110 115 138 139 165 230 253 278 330 345 417 506 690 695 759 834 1265 1390 1518 1529 2085 2530 3058 3197 3795 4170 4587 6394 7590 7645 9174 9591 10501 15290 15985 19182 21002 22935 31503 31970 35167 45870 47955 52505 63006 70334 95910 105010 105501 115511 157515 175835 211002 231022 241523 315030 346533 351670 483046 527505 577555 693066 724569 1055010 1155110 1207615 1449138 1459639 1732665 2415230 2656753 2919278 3465330 3622845 4378917 5313506 7245690 7298195 7970259 8757834 13283765 14596390 15940518 16056029 21894585 26567530 32112058 33571697 39851295 43789170 48168087 67143394 79702590 80280145 96336174 100715091 160560290 167858485 201430182 240840435 335716970 369288667 481680870 503575455 738577334 1007150910 1107866001 1846443335 2215732002 3692886670 5539330005 11078660010