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11660112324 = 2234728572
BaseRepresentation
bin10101101101111111…
…10011000111000100
31010002121120002010000
422312333303013010
5142334442043244
65205004401300
7561643214400
oct126677630704
933077502100
1011660112324
114a43913a73
122314b46230
13113a90c363
147c8824100
154839d3169
hex2b6ff31c4

11660112324 has 135 divisors (see below), whose sum is σ = 35499886653. Its totient is φ = 3327573312.

The previous prime is 11660112301. The next prime is 11660112349. The reversal of 11660112324 is 42321106611.

It is a happy number.

The square root of 11660112324 is 107982.

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

11660112324 is a `hidden beast` number, since 1 + 16 + 601 + 1 + 23 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10805602500 + 854509824 = 103950^2 + 29232^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 13605304 + ... + 13606160.

Almost surely, 211660112324 is an apocalyptic number.

11660112324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

11660112324 is the 107982-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11660112324

11660112324 is an abundant number, since it is smaller than the sum of its proper divisors (23839774329).

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

11660112324 is an frugal number, since it uses more digits than its factorization.

11660112324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1744 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 11660112324 its reverse (42321106611), we get a palindrome (53981218935).

The spelling of 11660112324 in words is "eleven billion, six hundred sixty million, one hundred twelve thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 857 882 1134 1323 1714 1764 2268 2571 2646 3428 3969 5142 5292 5999 7713 7938 10284 11998 15426 15876 17997 23139 23996 30852 35994 41993 46278 53991 69417 71988 83986 92556 107982 125979 138834 161973 167972 215964 251958 277668 323946 377937 485919 503916 647892 734449 755874 971838 1133811 1468898 1511748 1943676 2203347 2267622 2937796 3401433 4406694 4535244 5141143 6610041 6802866 8813388 10282286 13220082 13605732 15423429 19830123 20564572 26440164 30846858 35988001 39660246 46270287 59490369 61693716 71976002 79320492 92540574 107964003 118980738 138810861 143952004 185081148 215928006 237961476 277621722 323892009 416432583 431856012 555243444 647784018 832865166 971676027 1295568036 1665730332 1943352054 2915028081 3886704108 5830056162 11660112324