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11234728036 = 22726721132
BaseRepresentation
bin10100111011010010…
…00101100001100100
31001222222010022120101
422131221011201210
5141002042244121
65054451113444
7545256420100
oct123551054144
931888108511
1011234728036
114845790504
1222165a2884
1310a075098c
14788132900
1545b4a8491
hex29da45864

11234728036 has 81 divisors (see below), whose sum is σ = 23424424569. Its totient is φ = 4701045888.

The previous prime is 11234728007. The next prime is 11234728039. The reversal of 11234728036 is 63082743211.

It is a happy number.

The square root of 11234728036 is 105994.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 197964900 + 11036763136 = 14070^2 + 105056^2 .

It is a super-2 number, since 2×112347280362 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11234727986 and 11234728004.

It is not an unprimeable number, because it can be changed into a prime (11234728039) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 99422316 + ... + 99422428.

Almost surely, 211234728036 is an apocalyptic number.

11234728036 is the 105994-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11234728036

11234728036 is an abundant number, since it is smaller than the sum of its proper divisors (12189696533).

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

11234728036 is an equidigital number, since it uses as much as digits as its factorization.

11234728036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The spelling of 11234728036 in words is "eleven billion, two hundred thirty-four million, seven hundred twenty-eight thousand, thirty-six".

Divisors: 1 2 4 7 14 28 49 67 98 113 134 196 226 268 452 469 791 938 1582 1876 3164 3283 4489 5537 6566 7571 8978 11074 12769 13132 15142 17956 22148 25538 30284 31423 51076 52997 62846 89383 105994 125692 178766 211988 219961 357532 370979 439922 507257 625681 741958 855523 879844 1014514 1251362 1483916 1711046 2029028 2502724 3422092 3550799 5988661 7101598 11977322 14203196 23954644 24855593 41920627 49711186 57320041 83841254 99422372 114640082 167682508 229280164 401240287 802480574 1604961148 2808682009 5617364018 11234728036