Search a number
-
+
11058196240 = 2457138318301
BaseRepresentation
bin10100100110001111…
…01010111100010000
31001112122221120110201
422103013222330100
5140121344234430
65025143304544
7541014055120
oct122307527420
931478846421
1011058196240
114765077563
12218744b154
131072cc25b0
1476c8dcc80
1544ac378ca
hex2931eaf10

11058196240 has 160 divisors (see below), whose sum is σ = 32026450176. Its totient is φ = 3457382400.

The previous prime is 11058196199. The next prime is 11058196249. The reversal of 11058196240 is 4269185011.

It is a self number, because there is not a number n which added to its sum of digits gives 11058196240.

It is not an unprimeable number, because it can be changed into a prime (11058196249) 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, 595090 + ... + 613390.

Almost surely, 211058196240 is an apocalyptic number.

11058196240 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 11058196240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16013225088).

11058196240 is an abundant number, since it is smaller than the sum of its proper divisors (20968253936).

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

11058196240 is a wasteful number, since it uses less digits than its factorization.

11058196240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18417 (or 18411 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 37.

The spelling of 11058196240 in words is "eleven billion, fifty-eight million, one hundred ninety-six thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 83 91 104 112 130 140 166 182 208 260 280 332 364 415 455 520 560 581 664 728 830 910 1040 1079 1162 1328 1456 1660 1820 2158 2324 2905 3320 3640 4316 4648 5395 5810 6640 7280 7553 8632 9296 10790 11620 15106 17264 18301 21580 23240 30212 36602 37765 43160 46480 60424 73204 75530 86320 91505 120848 128107 146408 151060 183010 237913 256214 292816 302120 366020 475826 512428 604240 640535 732040 951652 1024856 1189565 1281070 1464080 1518983 1665391 1903304 2049712 2379130 2562140 3037966 3330782 3806608 4758260 5124280 6075932 6661564 7594915 8326955 9516520 10248560 10632881 12151864 13323128 15189830 16653910 19033040 19746779 21265762 24303728 26646256 30379660 33307820 39493558 42531524 53164405 60759320 66615640 78987116 85063048 98733895 106328810 121518640 133231280 138227453 157974232 170126096 197467790 212657620 276454906 315948464 394935580 425315240 552909812 691137265 789871160 850630480 1105819624 1382274530 1579742320 2211639248 2764549060 5529098120 11058196240