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11630354112 = 263313517733
BaseRepresentation
bin10101101010011100…
…10001111011000000
31010000112120012112000
422311032101323000
5142304332312422
65202022504000
7561132243636
oct126516217300
933015505460
1011630354112
114a29039203
122306b95000
1311346c0450
147c48b9356
154810a5cac
hex2b5391ec0

11630354112 has 112 divisors (see below), whose sum is σ = 36821242080. Its totient is φ = 3578563584.

The previous prime is 11630354089. The next prime is 11630354129. The reversal of 11630354112 is 21145303611.

It is a happy number.

11630354112 is a `hidden beast` number, since 11 + 630 + 3 + 5 + 4 + 1 + 12 = 666.

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 15 ways as a sum of consecutive naturals, for example, 236403 + ... + 281330.

It is an arithmetic number, because the mean of its divisors is an integer number (328761090).

Almost surely, 211630354112 is an apocalyptic number.

11630354112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11630354112 is an abundant number, since it is smaller than the sum of its proper divisors (25190887968).

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

11630354112 is a wasteful number, since it uses less digits than its factorization.

11630354112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517767 (or 517751 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 11630354112 its reverse (21145303611), we get a palindrome (32775657723).

The spelling of 11630354112 in words is "eleven billion, six hundred thirty million, three hundred fifty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 144 156 192 208 216 234 288 312 351 416 432 468 576 624 702 832 864 936 1248 1404 1728 1872 2496 2808 3744 5616 7488 11232 22464 517733 1035466 1553199 2070932 3106398 4141864 4659597 6212796 6730529 8283728 9319194 12425592 13461058 13978791 16567456 18638388 20191587 24851184 26922116 27957582 33134912 37276776 40383174 49702368 53844232 55915164 60574761 74553552 80766348 99404736 107688464 111830328 121149522 149107104 161532696 181724283 215376928 223660656 242299044 298214208 323065392 363448566 430753856 447321312 484598088 646130784 726897132 894642624 969196176 1292261568 1453794264 1938392352 2907588528 3876784704 5815177056 11630354112