Search a number
-
+
11148276360 = 23351313752163
BaseRepresentation
bin10100110000111110…
…10011001010001000
31001202221110010011110
422120133103022020
5140312424320420
65042122130320
7543156533304
oct123037231210
931687403143
1011148276360
114800a03041
1221b16509a0
131088871b40
1477a86ad04
15453accee0
hex2987d3288

11148276360 has 128 divisors (see below), whose sum is σ = 36281105280. Its totient is φ = 2724108288.

The previous prime is 11148276331. The next prime is 11148276397. The reversal of 11148276360 is 6367284111.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187639 + ... + 239801.

It is an arithmetic number, because the mean of its divisors is an integer number (283446135).

Almost surely, 211148276360 is an apocalyptic number.

11148276360 is a gapful number since it is divisible by the number (10) 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 11148276360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18140552640).

11148276360 is an abundant number, since it is smaller than the sum of its proper divisors (25132828920).

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

11148276360 is a wasteful number, since it uses less digits than its factorization.

11148276360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52327 (or 52323 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 11148276360 in words is "eleven billion, one hundred forty-eight million, two hundred seventy-six thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 137 156 195 260 274 312 390 411 520 548 685 780 822 1096 1370 1560 1644 1781 2055 2740 3288 3562 4110 5343 5480 7124 8220 8905 10686 14248 16440 17810 21372 26715 35620 42744 52163 53430 71240 104326 106860 156489 208652 213720 260815 312978 417304 521630 625956 678119 782445 1043260 1251912 1356238 1564890 2034357 2086520 2712476 3129780 3390595 4068714 5424952 6259560 6781190 7146331 8137428 10171785 13562380 14292662 16274856 20343570 21438993 27124760 28585324 35731655 40687140 42877986 57170648 71463310 81374280 85755972 92902303 107194965 142926620 171511944 185804606 214389930 278706909 285853240 371609212 428779860 464511515 557413818 743218424 857559720 929023030 1114827636 1393534545 1858046060 2229655272 2787069090 3716092120 5574138180 11148276360