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11294907648 = 283472111483
BaseRepresentation
bin10101000010011101…
…01001110100000000
31002011011100202110220
422201032221310000
5141112444021043
65104441023040
7546620062623
oct124116516400
932134322426
1011294907648
114876754322
122232784a80
1310b006160b
14792119dba
154618e4483
hex2a13a9d00

11294907648 has 144 divisors (see below), whose sum is σ = 30866820096. Its totient is φ = 3664926720.

The previous prime is 11294907647. The next prime is 11294907719. The reversal of 11294907648 is 84670949211.

It is a self number, because there is not a number n which added to its sum of digits gives 11294907648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11294907647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7615515 + ... + 7616997.

Almost surely, 211294907648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11294907648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15433410048).

11294907648 is an abundant number, since it is smaller than the sum of its proper divisors (19571912448).

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

11294907648 is a wasteful number, since it uses less digits than its factorization.

11294907648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 11294907648 in words is "eleven billion, two hundred ninety-four million, nine hundred seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 211 256 282 376 384 422 564 633 752 768 844 1128 1266 1483 1504 1688 2256 2532 2966 3008 3376 4449 4512 5064 5932 6016 6752 8898 9024 9917 10128 11864 12032 13504 17796 18048 19834 20256 23728 27008 29751 35592 36096 39668 40512 47456 54016 59502 69701 71184 79336 81024 94912 119004 139402 142368 158672 162048 189824 209103 238008 278804 284736 312913 317344 379648 418206 476016 557608 569472 625826 634688 836412 938739 952032 1115216 1138944 1251652 1269376 1672824 1877478 1904064 2230432 2503304 2538752 3345648 3754956 3808128 4460864 5006608 6691296 7509912 7616256 8921728 10013216 13382592 14706911 15019824 17843456 20026432 26765184 29413822 30039648 40052864 44120733 53530368 58827644 60079296 80105728 88241466 117655288 120158592 176482932 235310576 240317184 352965864 470621152 705931728 941242304 1411863456 1882484608 2823726912 3764969216 5647453824 11294907648