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11324460660 = 223510313913183
BaseRepresentation
bin10101000101111110…
…11000111001110100
31002020012222012120220
422202333120321310
5141143030220120
65111414254340
7550426220202
oct124277307164
932205865526
1011324460660
1148913a99a7
1222406573b0
1310b620acc6
14796010072
154642d0b40
hex2a2fd8e74

11324460660 has 96 divisors (see below), whose sum is σ = 32249118720. Its totient is φ = 2968797312.

The previous prime is 11324460613. The next prime is 11324460671. The reversal of 11324460660 is 6606442311.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 852429 + ... + 865611.

It is an arithmetic number, because the mean of its divisors is an integer number (335928320).

Almost surely, 211324460660 is an apocalyptic number.

11324460660 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 11324460660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16124559360).

11324460660 is an abundant number, since it is smaller than the sum of its proper divisors (20924658060).

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

11324460660 is a wasteful number, since it uses less digits than its factorization.

11324460660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13437 (or 13435 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 11324460660 in words is "eleven billion, three hundred twenty-four million, four hundred sixty thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 103 139 206 278 309 412 417 515 556 618 695 834 1030 1236 1390 1545 1668 2060 2085 2780 3090 4170 6180 8340 13183 14317 26366 28634 39549 42951 52732 57268 65915 71585 79098 85902 131830 143170 158196 171804 197745 214755 263660 286340 395490 429510 790980 859020 1357849 1832437 2715698 3664874 4073547 5431396 5497311 6789245 7329748 8147094 9162185 10994622 13578490 16294188 18324370 20367735 21989244 27156980 27486555 36648740 40735470 54973110 81470940 109946220 188741011 377482022 566223033 754964044 943705055 1132446066 1887410110 2264892132 2831115165 3774820220 5662230330 11324460660