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11135185404 = 2237592638543
BaseRepresentation
bin10100101111011010…
…10111000111111100
31001202000211000202020
422113231113013330
5140301101413104
65040533400140
7542640341250
oct122755270774
931660730666
1011135185404
1147a4581672
1221a9199050
131085c3a405
14778c20260
154528942d9
hex297b571fc

11135185404 has 96 divisors (see below), whose sum is σ = 30315479040. Its totient is φ = 3115301568.

The previous prime is 11135185379. The next prime is 11135185471. The reversal of 11135185404 is 40458153111.

It is a congruent number.

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, 1299157 + ... + 1307699.

It is an arithmetic number, because the mean of its divisors is an integer number (315786240).

Almost surely, 211135185404 is an apocalyptic number.

11135185404 is a gapful number since it is divisible by the number (14) 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 11135185404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15157739520).

11135185404 is an abundant number, since it is smaller than the sum of its proper divisors (19180293636).

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

11135185404 is a wasteful number, since it uses less digits than its factorization.

11135185404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8879 (or 8877 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 33.

The spelling of 11135185404 in words is "eleven billion, one hundred thirty-five million, one hundred eighty-five thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 59 84 118 177 236 263 354 413 526 708 789 826 1052 1239 1578 1652 1841 2478 3156 3682 4956 5523 7364 8543 11046 15517 17086 22092 25629 31034 34172 46551 51258 59801 62068 93102 102516 108619 119602 179403 186204 217238 239204 325857 358806 434476 504037 651714 717612 1008074 1303428 1512111 2016148 2246809 3024222 3528259 4493618 6048444 6740427 7056518 8987236 10584777 13480854 14113036 15727663 21169554 26961708 31455326 42339108 47182989 62910652 94365978 132561731 188731956 265123462 397685193 530246924 795370386 927932117 1590740772 1855864234 2783796351 3711728468 5567592702 11135185404